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100200100112 = 2471761214143
BaseRepresentation
bin101110101010001100…
…1000011000100010000
3100120122010011110222222
41131110121003010100
53120202211200422
6114010431520212
710145023540520
oct1352431030420
9316563143888
10100200100112
11395493872a2
1217504989068
1395ab100488
144bc786b680
152916ab3842
hex1754643110

100200100112 has 120 divisors (see below), whose sum is σ = 238854140928. Its totient is φ = 39751464960.

The previous prime is 100200100067. The next prime is 100200100123. The reversal of 100200100112 is 211001002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100200100112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077713 + ... + 7091855.

Almost surely, 2100200100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119427070464).

100200100112 is an abundant number, since it is smaller than the sum of its proper divisors (138654040816).

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

100200100112 is a wasteful number, since it uses less digits than its factorization.

100200100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14297 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100200100112 its reverse (211001002001), we get a palindrome (311201102113).

The spelling of 100200100112 in words is "one hundred billion, two hundred million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 238 244 272 427 476 488 854 952 976 1037 1708 1904 2074 3416 3721 4148 6832 7259 7442 8296 14143 14518 14884 16592 26047 28286 29036 29768 52094 56572 58072 59536 63257 99001 104188 113144 116144 126514 198002 208376 226288 240431 253028 396004 416752 442799 480862 506056 792008 862723 885598 961724 1012112 1584016 1683017 1725446 1771196 1923448 3366034 3450892 3542392 3846896 6039061 6732068 6901784 7084784 12078122 13464136 13803568 14666291 24156244 26928272 29332582 48312488 52626103 58665164 96624976 102664037 105252206 117330328 205328074 210504412 234660656 368382721 410656148 421008824 736765442 821312296 842017648 894643751 1473530884 1642624592 1789287502 2947061768 3578575004 5894123536 6262506257 7157150008 12525012514 14314300016 25050025028 50100050056 100200100112