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330032001012 = 2237291311034207
BaseRepresentation
bin1001100110101110111…
…00001010111111110100
31011112212111102202020220
410303113130022333310
520401401143013022
6411340431054340
732562333502530
oct4632734127764
91145774382226
10330032001012
11117a6950814a
1253b670713b0
1325177a196cc
1411d8b91abc0
1588b900985c
hex4cd770aff4

330032001012 has 96 divisors (see below), whose sum is σ = 917383864320. Its totient is φ = 90348236160.

The previous prime is 330032000993. The next prime is 330032001031. The reversal of 330032001012 is 210100230033.

It is an interprime number because it is at equal distance from previous prime (330032000993) and next prime (330032001031).

It is a super-2 number, since 2×3300320010122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330032000982 and 330032001000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197988 + ... + 836219.

It is an arithmetic number, because the mean of its divisors is an integer number (9556081920).

Almost surely, 2330032001012 is an apocalyptic number.

It is an amenable number.

330032001012 is an abundant number, since it is smaller than the sum of its proper divisors (587351863308).

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

330032001012 is a wasteful number, since it uses less digits than its factorization.

330032001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034381 (or 1034379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 330032001012 its reverse (210100230033), we get a palindrome (540132231045).

The spelling of 330032001012 in words is "three hundred thirty billion, thirty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 131 174 203 262 348 393 406 524 609 786 812 917 1218 1572 1834 2436 2751 3668 3799 5502 7598 11004 11397 15196 22794 26593 45588 53186 79779 106372 159558 319116 1034207 2068414 3102621 4136828 6205242 7239449 12410484 14478898 21718347 28957796 29992003 43436694 59984006 86873388 89976009 119968012 135481117 179952018 209944021 270962234 359904036 406443351 419888042 541924468 629832063 812886702 839776084 948367819 1259664126 1625773404 1896735638 2519328252 2845103457 3793471276 3928952393 5690206914 7857904786 11380413828 11786857179 15715809572 23573714358 27502666751 47147428716 55005333502 82508000253 110010667004 165016000506 330032001012