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12181542030 = 2325730762983
BaseRepresentation
bin10110101100001001…
…11001010010001110
31011102221201110012100
423112010321102032
5144421433321110
65332432415530
7610604253540
oct132604712216
934387643170
1012181542030
115191187909
12243b6a75a6
1311c1958548
14837b97690
154b4680bc0
hex2d613948e

12181542030 has 96 divisors (see below), whose sum is σ = 36315062784. Its totient is φ = 2775238848.

The previous prime is 12181542013. The next prime is 12181542031. The reversal of 12181542030 is 3024518121.

12181542030 is a `hidden beast` number, since 12 + 1 + 81 + 542 + 0 + 30 = 666.

It is a super-3 number, since 3×121815420303 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12181541985 and 12181542003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12181542031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161919 + ... + 224901.

It is an arithmetic number, because the mean of its divisors is an integer number (378281904).

Almost surely, 212181542030 is an apocalyptic number.

12181542030 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 12181542030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157531392).

12181542030 is an abundant number, since it is smaller than the sum of its proper divisors (24133520754).

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

12181542030 is a wasteful number, since it uses less digits than its factorization.

12181542030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63310 (or 63307 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12181542030 in words is "twelve billion, one hundred eighty-one million, five hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 307 315 614 630 921 1535 1842 2149 2763 3070 4298 4605 5526 6447 9210 10745 12894 13815 19341 21490 27630 32235 38682 62983 64470 96705 125966 188949 193410 314915 377898 440881 566847 629830 881762 944745 1133694 1322643 1889490 2204405 2645286 2834235 3967929 4408810 5668470 6613215 7935858 13226430 19335781 19839645 38671562 39679290 58007343 96678905 116014686 135350467 174022029 193357810 270700934 290036715 348044058 406051401 580073430 676752335 812102802 870110145 1218154203 1353504670 1740220290 2030257005 2436308406 4060514010 6090771015 12181542030