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1202010100120 = 2351971149149503
BaseRepresentation
bin10001011111011101011…
…000101001000110011000
311020220121011001202222001
4101133131120221012120
5124143204041200440
62320110144010344
7152561634162154
oct21373530510630
94226534052861
101202010100120
11423851402065
12174b5a9009b4
138946cb8a36b
144226b492064
15214013e5b9a
hex117dd629198

1202010100120 has 128 divisors (see below), whose sum is σ = 2906357760000. Its totient is φ = 446066127360.

The previous prime is 1202010100097. The next prime is 1202010100121. The reversal of 1202010100120 is 210010102021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1202010100097 and 1202010100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202010100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7965289 + ... + 8114791.

It is an arithmetic number, because the mean of its divisors is an integer number (22705920000).

Almost surely, 21202010100120 is an apocalyptic number.

1202010100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453178880000).

1202010100120 is an abundant number, since it is smaller than the sum of its proper divisors (1704347659880).

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

1202010100120 is a wasteful number, since it uses less digits than its factorization.

1202010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149753 (or 149749 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1202010100120 its reverse (210010102021), we get a palindrome (1412020202141).

The spelling of 1202010100120 in words is "one trillion, two hundred two billion, ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 149 152 190 284 298 355 380 568 596 710 745 760 1192 1349 1420 1490 2698 2831 2840 2980 5396 5662 5960 6745 10579 10792 11324 13490 14155 21158 22648 26980 28310 42316 52895 53960 56620 84632 105790 113240 149503 201001 211580 299006 402002 423160 598012 747515 804004 1005005 1196024 1495030 1608008 2010010 2840557 2990060 4020020 5681114 5980120 8040040 10614713 11362228 14202785 21229426 22275947 22724456 28405570 42458852 44551894 53073565 56811140 84917704 89103788 106147130 111379735 113622280 178207576 201679547 212294260 222759470 403359094 423242993 424588520 445518940 806718188 846485986 891037880 1008397735 1581592237 1613436376 1692971972 2016795470 2116214965 3163184474 3385943944 4033590940 4232429930 6326368948 7907961185 8067181880 8464859860 12652737896 15815922370 16929719720 30050252503 31631844740 60100505006 63263689480 120201010012 150251262515 240402020024 300502525030 601005050060 1202010100120