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113163361311 = 37112134379669
BaseRepresentation
bin110100101100100001…
…1111101110000011111
3101211002112211101022010
41221121003331300133
53323224310030221
6123553031322303
711114202462120
oct1513103756037
9354075741263
10113163361311
1143aa0849300
1219b22220393
13a8959aab30
145697392047
152e24ba9c76
hex1a590fdc1f

113163361311 has 96 divisors (see below), whose sum is σ = 208870520320. Its totient is φ = 53001527040.

The previous prime is 113163361261. The next prime is 113163361351.

113163361311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113163361311 - 226 = 113096252447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113163361351) 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, 1380585 + ... + 1460253.

Almost surely, 2113163361311 is an apocalyptic number.

113163361311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113163361311 is a deficient number, since it is larger than the sum of its proper divisors (95707159009).

113163361311 is a wasteful number, since it uses less digits than its factorization.

113163361311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79757 (or 79746 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

It can be divided in two parts, 113163 and 361311, that added together give a palindrome (474474).

The spelling of 113163361311 in words is "one hundred thirteen billion, one hundred sixty-three million, three hundred sixty-one thousand, three hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 121 129 143 231 273 301 363 429 473 559 847 903 1001 1419 1573 1677 2541 3003 3311 3913 4719 5203 6149 9933 11011 11739 15609 18447 33033 36421 43043 67639 79669 109263 129129 202917 239007 473473 557683 876359 1035697 1420419 1673049 2629077 3107091 3425767 6134513 7249879 9639949 10277301 11392667 18403539 21749637 23980369 28919847 34178001 37683437 44534971 67479643 71941107 79748669 113050311 125319337 133604913 202438929 239246007 263784059 311744797 375958011 414517807 489884681 791352177 877235359 935234391 1243553421 1469654043 2631706077 2901624649 3429192767 5388731491 8704873947 10287578301 16166194473 37721120437 113163361311