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113311320311 = 717311132291187
BaseRepresentation
bin110100110000111100…
…0011000100011110111
3101211110212020110220002
41221201320120203313
53324030144222221
6124015434501515
711120650221350
oct1514170304367
9354425213802
10113311320311
1144067317072
1219b6389489b
13a8ba543a37
1456acca8d27
152e32b8480b
hex1a61e188f7

113311320311 has 64 divisors (see below), whose sum is σ = 143536250880. Its totient is φ = 87222804480.

The previous prime is 113311320307. The next prime is 113311320313. The reversal of 113311320311 is 113023113311.

It is not a de Polignac number, because 113311320311 - 22 = 113311320307 is a prime.

It is a super-2 number, since 2×1133113203112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311320313) 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, 95459660 + ... + 95460846.

It is an arithmetic number, because the mean of its divisors is an integer number (2242753920).

Almost surely, 2113311320311 is an apocalyptic number.

113311320311 is a deficient number, since it is larger than the sum of its proper divisors (30224930569).

113311320311 is a wasteful number, since it uses less digits than its factorization.

113311320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 113311320311 its reverse (113023113311), we get a palindrome (226334433622).

The spelling of 113311320311 in words is "one hundred thirteen billion, three hundred eleven million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 7 17 31 113 119 217 229 527 791 1187 1603 1921 3503 3689 3893 7099 8309 13447 20179 24521 25877 27251 36797 49693 59551 120683 134131 141253 181139 257579 271823 416857 439909 625549 802187 844781 938917 1902761 2280227 3079363 4158061 4378843 4620991 5615309 8426513 13637179 15961589 29106427 30715999 32346937 58985591 70687037 95460253 143250721 215011993 494809259 522171983 952195969 1002755047 3655203881 6665371783 16187331473 113311320311