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204313141032 = 233711138504543
BaseRepresentation
bin1011111001001000000…
…0110001111100101000
3201112100221012221200120
42332102000301330220
511321413131003112
6233505443403240
720522033021130
oct2762200617450
9645327187616
10204313141032
1179715494970
1233720083520
1316360a8cb30
149c62c69ac0
1554abe51e8c
hex2f92031f28

204313141032 has 128 divisors (see below), whose sum is σ = 685806428160. Its totient is φ = 48986161920.

The previous prime is 204313141001. The next prime is 204313141051. The reversal of 204313141032 is 230141313402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204313140993 and 204313141011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4228248 + ... + 4276295.

It is an arithmetic number, because the mean of its divisors is an integer number (5357862720).

Almost surely, 2204313141032 is an apocalyptic number.

204313141032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

204313141032 is an abundant number, since it is smaller than the sum of its proper divisors (481493287128).

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

204313141032 is a wasteful number, since it uses less digits than its factorization.

204313141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504583 (or 8504579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 204313141032 its reverse (230141313402), we get a palindrome (434454454434).

The spelling of 204313141032 in words is "two hundred four billion, three hundred thirteen million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 8504543 17009086 25513629 34018172 51027258 59531801 68036344 93549973 102054516 110559059 119063602 178595403 187099946 204109032 221118118 238127204 280649919 331677177 357190806 374199892 442236236 476254408 561299838 654849811 663354354 714381612 748399784 773913413 884472472 1122599676 1216149649 1309699622 1326708708 1428763224 1547826826 1964549433 2245199352 2321740239 2432299298 2619399244 2653417416 3095653652 3648448947 3929098866 4643480478 4864598596 5238798488 6191307304 7296897894 7858197732 8513047543 9286960956 9729197192 14593795788 15716395464 17026095086 18573921912 25539142629 29187591576 34052190172 51078285258 68104380344 102156570516 204313141032