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113104202541561 = 327113146311371109
BaseRepresentation
bin11001101101111000011111…
…110100001010100111111001
3112211110122201100021122001100
4121231320133310022213321
5104311044401322312221
61040315204153242013
732552336402000130
oct3155703764124771
9484418640248040
10113104202541561
113304724a794710
1210828428703309
134b158b019957a
141dd03b6092917
15d121770c3926
hex66de1fd0a9f9

113104202541561 has 96 divisors (see below), whose sum is σ = 210710125117440. Its totient is φ = 56737280476800.

The previous prime is 113104202541527. The next prime is 113104202541563. The reversal of 113104202541561 is 165145202401311.

113104202541561 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 42 + 0 + 2 + 54 + 1 + 561 = 666.

It is not a de Polignac number, because 113104202541561 - 26 = 113104202541497 is a prime.

It is a super-3 number, since 3×1131042025415613 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113104202541563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4261075 + ... + 15632183.

It is an arithmetic number, because the mean of its divisors is an integer number (2194897136640).

Almost surely, 2113104202541561 is an apocalyptic number.

113104202541561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113104202541561 is a deficient number, since it is larger than the sum of its proper divisors (97605922575879).

113104202541561 is a wasteful number, since it uses less digits than its factorization.

113104202541561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11371627 (or 11371624 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 113104202541561 its reverse (165145202401311), we get a palindrome (278249404942872).

The spelling of 113104202541561 in words is "one hundred thirteen trillion, one hundred four billion, two hundred two million, five hundred forty-one thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 463 651 693 1023 1389 1953 2387 3069 3241 4167 5093 7161 9723 14353 15279 21483 29169 35651 43059 45837 100471 106953 129177 157883 301413 320859 473649 904239 1105181 1420947 3315543 9946629 11371109 34113327 79597763 102339981 125082199 238793289 352504379 375246597 716379867 875575393 1057513137 1125739791 2467530653 2626726179 3172539411 3877548169 5264823467 7402591959 7880178537 11632644507 15794470401 22207775877 27142837183 34897933521 36853764269 47383411203 57913058137 81428511549 110561292807 163209527477 173739174411 244285534647 331683878421 405391406959 489628582431 521217523233 1142466692339 1216174220877 1468885747293 1795304802247 3427400077017 3648522662631 5385914406741 10282200231051 12567133615729 16157743220223 37701400847187 113104202541561