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103313201321112 = 23317536064778779
BaseRepresentation
bin10111011111011001111010…
…101010100101010010011000
3111112210122102122010102120220
4113133121322222211102120
5102020140414014233422
61003421232433320040
730522063303535446
oct2737317252452230
9445718378112526
10103313201321112
112aa1197885a092
12b70695a106020
1345855157a3b53
141b7255821db96
15be263063ee5c
hex5df67aaa5498

103313201321112 has 128 divisors (see below), whose sum is σ = 278644179340800. Its totient is φ = 31799509833728.

The previous prime is 103313201321041. The next prime is 103313201321119. The reversal of 103313201321112 is 211123102313301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313201321119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311391339 + ... + 1311470117.

It is an arithmetic number, because the mean of its divisors is an integer number (2176907651100).

Almost surely, 2103313201321112 is an apocalyptic number.

103313201321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313201321112 is an abundant number, since it is smaller than the sum of its proper divisors (175330978019688).

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

103313201321112 is a wasteful number, since it uses less digits than its factorization.

103313201321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139505 (or 139501 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103313201321112 its reverse (211123102313301), we get a palindrome (314436303634413).

The spelling of 103313201321112 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 10812 21624 60647 78779 121294 157558 181941 236337 242588 315116 363882 472674 485176 630232 727764 945348 1030999 1339243 1455528 1890696 2061998 2678486 3092997 3214291 4017729 4123996 4175287 5356972 6185994 6428582 8035458 8247992 8350574 9642873 10713944 12371988 12525861 12857164 16070916 16701148 19285746 24743976 25051722 25714328 32141832 33402296 38571492 50103444 54642947 70979879 77142984 100206888 109285894 141959758 163928841 212939637 218571788 283919516 327857682 425879274 437143576 567839032 655715364 851758548 1311430728 1703517096 4777710013 9555420026 14333130039 19110840052 28666260078 38221680104 57332520156 81221070221 114665040312 162442140442 243663210663 253218630689 324884280884 487326421326 506437261378 649768561768 759655892067 974652842652 1012874522756 1519311784134 1949305685304 2025749045512 3038623568268 4304716721713 6077247136536 8609433443426 12914150165139 17218866886852 25828300330278 34437733773704 51656600660556 103313201321112