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103364223138 = 232112834
BaseRepresentation
bin110000001000011111…
…1001110000010100010
3100212210122000120210200
41200100333032002202
53143142220120023
6115252422010030
710316314254141
oct1402077160242
9325718016720
10103364223138
113a922455800
1218048576916
1399937ba017
145007b97758
152a4e776743
hex1810fce0a2

103364223138 has 90 divisors (see below), whose sum is σ = 249168339147. Its totient is φ = 30945112440.

The previous prime is 103364223107. The next prime is 103364223163. The reversal of 103364223138 is 831322463301.

103364223138 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 642 + 2 + 3 + 1 + 3 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51682111569 + 51682111569 = 227337^2 + 227337^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227337.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1245352045 + ... + 1245352127.

Almost surely, 2103364223138 is an apocalyptic number.

103364223138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103364223138

103364223138 is an abundant number, since it is smaller than the sum of its proper divisors (145804116009).

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

103364223138 is an frugal number, since it uses more digits than its factorization.

103364223138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 103364223138 its reverse (831322463301), we get a palindrome (934686686439).

The spelling of 103364223138 in words is "one hundred three billion, three hundred sixty-four million, two hundred twenty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 198 242 249 363 498 726 747 913 1089 1494 1826 2178 2739 5478 6889 8217 10043 13778 16434 20086 20667 30129 41334 60258 62001 75779 90387 124002 151558 180774 227337 454674 571787 682011 833569 1143574 1364022 1667138 1715361 2500707 3430722 5001414 5146083 6289657 7502121 10292166 12579314 15004242 18868971 37737942 47458321 56606913 69186227 94916642 113213826 138372454 142374963 207558681 284749926 415117362 427124889 522041531 622676043 854249778 1044083062 1245352086 1566124593 3132249186 4698373779 5742456841 9396747558 11484913682 17227370523 34454741046 51682111569 103364223138