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30212131332 = 223174115432341
BaseRepresentation
bin11100001000110010…
…001000101000000100
32212222112110021212010
4130020302020220010
5443333301200312
621513530454220
72116453610355
oct341062105004
985875407763
1030212131332
11118a3a62489
125a31b94370
132b063090b6
1416686a7d2c
15bbc57c93c
hex708c88a04

30212131332 has 96 divisors (see below), whose sum is σ = 76544504064. Its totient is φ = 9237196800.

The previous prime is 30212131331. The next prime is 30212131343. The reversal of 30212131332 is 23313121203.

It is a junction number, because it is equal to n+sod(n) for n = 30212131299 and 30212131308.

It is not an unprimeable number, because it can be changed into a prime (30212131331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12904482 + ... + 12906822.

It is an arithmetic number, because the mean of its divisors is an integer number (797338584).

Almost surely, 230212131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30212131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38272252032).

30212131332 is an abundant number, since it is smaller than the sum of its proper divisors (46332372732).

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

30212131332 is a wasteful number, since it uses less digits than its factorization.

30212131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30212131332 its reverse (23313121203), we get a palindrome (53525252535).

The spelling of 30212131332 in words is "thirty billion, two hundred twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 1543 2091 2341 2788 3086 4182 4629 4682 6172 7023 8364 9258 9364 14046 18516 26231 28092 39797 52462 63263 78693 79594 95981 104924 119391 126526 157386 159188 189789 191962 238782 253052 287943 314772 379578 383924 477564 575886 759156 1075471 1151772 1631677 2150942 3226413 3263354 3612163 4301884 4895031 6452826 6526708 7224326 9790062 10836489 12905652 14448652 19580124 21672978 43345956 61406771 122813542 148098683 184220313 245627084 296197366 368440626 444296049 592394732 736881252 888592098 1777184196 2517677611 5035355222 7553032833 10070710444 15106065666 30212131332