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103213110231 = 32711216198363
BaseRepresentation
bin110000000011111111…
…0110001001111010111
3100212102002200020212100
41200013332301033113
53142340024011411
6115225423053143
710312500650550
oct1400776611727
9325362606770
10103213110231
113a855123400
1218005a411b3
13996b3bb6ba
144dd1a9d327
152a41377456
hex1807fb13d7

103213110231 has 72 divisors (see below), whose sum is σ = 187419173760. Its totient is φ = 53577675360.

The previous prime is 103213110229. The next prime is 103213110257. The reversal of 103213110231 is 132011312301.

103213110231 is a `hidden beast` number, since 1 + 0 + 321 + 3 + 110 + 231 = 666.

It is not a de Polignac number, because 103213110231 - 21 = 103213110229 is a prime.

It is a super-4 number, since 4×1032131102314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213110631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12337456 + ... + 12345818.

It is an arithmetic number, because the mean of its divisors is an integer number (2603044080).

Almost surely, 2103213110231 is an apocalyptic number.

103213110231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103213110231 is a deficient number, since it is larger than the sum of its proper divisors (84206063529).

103213110231 is a wasteful number, since it uses less digits than its factorization.

103213110231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103213110231 its reverse (132011312301), we get a palindrome (235224422532).

It can be divided in two parts, 103213 and 110231, that added together give a square (213444 = 4622).

The spelling of 103213110231 in words is "one hundred three billion, two hundred thirteen million, one hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 1619 2541 4857 7623 8363 11333 14571 17809 25089 33999 53427 58541 75267 91993 101997 124663 160281 175623 195899 275979 373989 526869 587697 643951 827937 1011923 1121967 1371293 1763091 1931853 3035769 4113879 5795559 7083461 9107307 12341637 13539697 21250383 40619091 63751149 94777879 121857273 148936667 284333637 446810001 853000911 1042556669 1340430003 1638303337 3127670007 4914910011 9383010021 11468123359 14744730033 34404370077 103213110231