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331002132012 = 223223419750269
BaseRepresentation
bin1001101000100010100…
…00111011011000101100
31011122101002220111210200
410310101100323120230
520410343021211022
6412021004233500
732625353462016
oct4642120733054
91148332814720
10331002132012
1111841708aa02
1254197b3b890
13252a09c9416
14120406d11b6
15892428abac
hex4d1143b62c

331002132012 has 72 divisors (see below), whose sum is σ = 894372766560. Its totient is φ = 102962830080.

The previous prime is 331002132011. The next prime is 331002132029. The reversal of 331002132012 is 210231200133.

331002132012 is a `hidden beast` number, since 3 + 310 + 0 + 21 + 320 + 12 = 666.

It is a super-2 number, since 2×3310021320122 (a number of 24 digits) contains 22 as substring.

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 (331002132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4841187 + ... + 4909082.

It is an arithmetic number, because the mean of its divisors is an integer number (12421843980).

Almost surely, 2331002132012 is an apocalyptic number.

It is an amenable number.

331002132012 is an abundant number, since it is smaller than the sum of its proper divisors (563370634548).

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

331002132012 is a wasteful number, since it uses less digits than its factorization.

331002132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750343 (or 9750338 counting only the distinct ones).

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

Adding to 331002132012 its reverse (210231200133), we get a palindrome (541233332145).

The spelling of 331002132012 in words is "three hundred thirty-one billion, two million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 5658 8487 11316 16974 33948 9750269 19500538 29250807 39001076 58501614 87752421 117003228 175504842 224256187 351009684 399761029 448512374 672768561 799522058 897024748 1199283087 1345537122 1599044116 2018305683 2398566174 2691074244 3597849261 4036611366 4797132348 7195698522 8073222732 9194503667 14391397044 18389007334 27583511001 36778014668 55167022002 82750533003 110334044004 165501066006 331002132012