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21003630012 = 22323137508661
BaseRepresentation
bin10011100011111010…
…011111010110111100
32000012210000221210200
4103203322133112330
5321003412130022
613352100403500
71342326623631
oct234372372674
960183027720
1021003630012
1189a9002112
1240a20a6590
131c995b6151
1410336da188
1582de17bac
hex4e3e9f5bc

21003630012 has 72 divisors (see below), whose sum is σ = 56286502272. Its totient is φ = 6592233600.

The previous prime is 21003629963. The next prime is 21003630013.

21003630012 is a `hidden beast` number, since 21 + 0 + 0 + 3 + 630 + 0 + 12 = 666.

21003630012 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003630013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213039 + ... + 295622.

It is an arithmetic number, because the mean of its divisors is an integer number (781756976).

Almost surely, 221003630012 is an apocalyptic number.

It is an amenable number.

21003630012 is an abundant number, since it is smaller than the sum of its proper divisors (35282872260).

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

21003630012 is a wasteful number, since it uses less digits than its factorization.

21003630012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508739 (or 508734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 21003630012 in words is "twenty-one billion, three million, six hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 20646 41292 508661 1017322 1525983 2034644 3051966 4577949 6103932 9155898 15768491 18311796 18820457 31536982 37640914 47305473 56461371 63073964 75281828 94610946 112922742 141916419 169384113 189221892 225845484 283832838 338768226 567665676 583434167 677536452 1166868334 1750302501 2333736668 3500605002 5250907503 7001210004 10501815006 21003630012