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231541787145132 = 22334783582177003
BaseRepresentation
bin110100101001011000000101…
…111110010011001110101100
31010100211011211020211212112000
4310221120011332103032230
5220322040040002121012
62140240454550012300
766525225222351042
oct6451300576231654
91110734736755460
10231541787145132
116785a35861a382
1221b76424047090
139c273b2205bb9
14412697a2d6392
151bb7deea63ddc
hexd29605f933ac

231541787145132 has 96 divisors (see below), whose sum is σ = 600529973621760. Its totient is φ = 77150201129280.

The previous prime is 231541787145107. The next prime is 231541787145167.

231541787145132 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 41 + 7 + 87 + 1 + 4 + 513 + 2 = 666.

231541787145132 is nontrivially palindromic in base 10.

231541787145132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2315417871451322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006880543 + ... + 3006957545.

It is an arithmetic number, because the mean of its divisors is an integer number (6255520558560).

Almost surely, 2231541787145132 is an apocalyptic number.

It is an amenable number.

231541787145132 is an abundant number, since it is smaller than the sum of its proper divisors (368988186476628).

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

231541787145132 is a wasteful number, since it uses less digits than its factorization.

231541787145132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87620 (or 87612 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 231541787145132 in words is "two hundred thirty-one trillion, five hundred forty-one billion, seven hundred eighty-seven million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4783 5821 9566 11642 14349 17463 19132 23284 28698 34926 43047 52389 57396 69852 77003 86094 104778 129141 154006 157167 172188 209556 231009 258282 308012 314334 462018 516564 628668 693027 924036 1386054 2079081 2772108 4158162 8316324 27841843 55683686 83525529 111367372 167051058 250576587 334102116 368305349 448234463 501153174 736610698 751729761 896468926 1002306348 1104916047 1344703389 1473221396 1503459522 1792937852 2209832094 2689406778 3006919044 3314748141 4034110167 4419664188 5378813556 6629496282 8068220334 9944244423 12102330501 13258992564 16136440668 19888488846 24204661002 39776977692 48409322004 2143905436529 4287810873058 6431716309587 8575621746116 12863432619174 19295148928761 25726865238348 38590297857522 57885446786283 77180595715044 115770893572566 231541787145132