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100110112102 = 271113181431641
BaseRepresentation
bin101110100111100000…
…1110001010101100110
3100120101211211121122201
41131033001301111212
53120011142041402
6113553455045114
710142551625020
oct1351701612546
9316354747581
10100110112102
1139502603a40
121749a81079a
139595583b30
144bb9925010
15290dc3a687
hex174f071566

100110112102 has 128 divisors (see below), whose sum is σ = 203521683456. Its totient is φ = 35665920000.

The previous prime is 100110112097. The next prime is 100110112171. The reversal of 100110112102 is 201211011001.

It is a congruent number.

It is an unprimeable number.

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, 156177702 + ... + 156178342.

It is an arithmetic number, because the mean of its divisors is an integer number (1590013152).

Almost surely, 2100110112102 is an apocalyptic number.

100110112102 is an abundant number, since it is smaller than the sum of its proper divisors (103411571354).

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

100110112102 is a wasteful number, since it uses less digits than its factorization.

100110112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110112102 its reverse (201211011001), we get a palindrome (301321123103).

It can be divided in two parts, 100110 and 112102, that added together give a palindrome (212212).

The spelling of 100110112102 in words is "one hundred billion, one hundred ten million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 181 182 286 362 431 641 862 1001 1267 1282 1991 2002 2353 2534 3017 3982 4487 4706 4741 5603 6034 7051 8333 8974 9482 11206 13937 14102 16471 16666 25883 27874 32942 33187 39221 49357 51766 58331 61633 66374 78011 78442 91663 98714 116021 116662 123266 156022 181181 183326 232042 276271 362362 431431 546077 552542 641641 812147 858121 862862 1014143 1092154 1276231 1283282 1508273 1624294 1716242 1933897 2028286 2552462 3016546 3038981 3591523 3867794 6006847 6077962 7099001 7183046 8933617 10557911 11155573 12013694 14198002 16591003 17867234 21115822 21272867 22311146 25140661 33182006 39506753 42545734 50005051 50281322 78089011 79013506 100010102 116137021 156178022 232274042 276547271 350035357 550055561 553094542 650065663 700070714 1100111122 1300131326 3850388927 4550459641 7150722293 7700777854 9100919282 14301444586 50055056051 100110112102