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231535251053253 = 3378343334087043
BaseRepresentation
bin110100101001010010000000…
…011001000101101011000101
31010100210112221202001000001000
4310221102000121011223011
5220321433143232201003
62140233454222523513
766524604235445430
oct6451220031055305
91110715852030030
10231535251053253
1167857604120854
1221b750bb136599
139c268b0059304
14412651a218817
151bb7b6ad341a3
hexd29480645ac5

231535251053253 has 64 divisors (see below), whose sum is σ = 397656728340480. Its totient is φ = 130409932587264.

The previous prime is 231535251053137. The next prime is 231535251053287. The reversal of 231535251053253 is 352350152535132.

231535251053253 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 3 + 52 + 5 + 10 + 532 + 53 = 666.

It is not a de Polignac number, because 231535251053253 - 29 = 231535251052741 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231535251053199 and 231535251053208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231535251054253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10251051 + ... + 23835992.

It is an arithmetic number, because the mean of its divisors is an integer number (6213386380320).

Almost surely, 2231535251053253 is an apocalyptic number.

It is an amenable number.

231535251053253 is a deficient number, since it is larger than the sum of its proper divisors (166121477287227).

231535251053253 is a wasteful number, since it uses less digits than its factorization.

231535251053253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34087575 (or 34087569 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 231535251053253 in words is "two hundred thirty-one trillion, five hundred thirty-five billion, two hundred fifty-one million, fifty-three thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 83 189 249 433 581 747 1299 1743 2241 3031 3897 5229 9093 11691 15687 27279 35939 81837 107817 251573 323451 754719 970353 2264157 6792471 34087043 102261129 238609301 306783387 715827903 920350161 2147483709 2829224569 6442451127 8487673707 14759689619 19804571983 25463021121 44279068857 59413715949 76389063363 103317827333 132837206571 178241147847 309953481999 398511619713 534723443541 929860445997 1225054238377 2789581337991 3675162715131 8575379668639 11025488145393 25726139005917 33076464436179 77178417017751 231535251053253