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120103413002010 = 2345769907212587
BaseRepresentation
bin11011010011101111000001…
…010001001010111100011010
3120202020202220100120211210000
4123103233001101022330122
5111220233242212031020
61103234425104233430
734204120352201634
oct3323570121127432
9522222810524700
10120103413002010
11352a5631606229
1211578a1a00b876
13520291b065319
1421930714c3a54
15dd4273315090
hex6d3bc144af1a

120103413002010 has 160 divisors (see below), whose sum is σ = 323722730802240. Its totient is φ = 31950512529408.

The previous prime is 120103413002003. The next prime is 120103413002011. The reversal of 120103413002010 is 10200314301021.

120103413002010 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 341 + 300 + 20 + 1 + 0 = 666.

120103413002010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120103413002011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 564854937 + ... + 565067523.

It is an arithmetic number, because the mean of its divisors is an integer number (2023267067514).

Almost surely, 2120103413002010 is an apocalyptic number.

120103413002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120103413002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161861365401120).

120103413002010 is an abundant number, since it is smaller than the sum of its proper divisors (203619317800230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120103413002010 is a wasteful number, since it uses less digits than its factorization.

120103413002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214282 (or 214273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120103413002010 its reverse (10200314301021), we get a palindrome (130303727303031).

The spelling of 120103413002010 in words is "one hundred twenty trillion, one hundred three billion, four hundred thirteen million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 769 810 907 1538 1814 2307 2721 3845 4535 4614 5442 6921 7690 8163 9070 11535 13605 13842 16326 20763 23070 24489 27210 34605 40815 41526 48978 62289 69210 73467 81630 103815 122445 124578 146934 207630 212587 244890 311445 367335 425174 622890 637761 697483 734670 1062935 1275522 1394966 1913283 2092449 2125870 3188805 3487415 3826566 4184898 5739849 6277347 6377610 6974830 9566415 10462245 11479698 12554694 17219547 18832041 19132830 20924490 28699245 31386735 34439094 37664082 56496123 57398490 62773470 86097735 94160205 112992246 163479403 172195470 188320410 192816409 282480615 326958806 385632818 490438209 564961230 578449227 817397015 964082045 980876418 1156898454 1471314627 1634794030 1735347681 1928164090 2452191045 2892246135 2942629254 3470695362 4413943881 4904382090 5206043043 5784492270 7356573135 8676738405 8827887762 10412086086 13241831643 14713146270 15618129129 17353476810 22069719405 26030215215 26483663286 31236258258 44139438810 52060430430 66209158215 78090645645 132418316430 148275818521 156181291290 296551637042 444827455563 741379092605 889654911126 1334482366689 1482758185210 2224137277815 2668964733378 4003447100067 4448274555630 6672411833445 8006894200134 12010341300201 13344823666890 20017235500335 24020682600402 40034471000670 60051706501005 120103413002010