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112133100100 = 22527179894917
BaseRepresentation
bin110100001101110100…
…1110101001001000100
3101201102202012200121111
41220123221311021010
53314122033200400
6123302505254404
711046522424120
oct1503351651104
9351382180544
10112133100100
114361223685a
1219895194404
13a760406b08
1455da608580
152db44ec3ba
hex1a1ba75244

112133100100 has 72 divisors (see below), whose sum is σ = 279643976640. Its totient is φ = 38230811520.

The previous prime is 112133100091. The next prime is 112133100119. The reversal of 112133100100 is 1001331211.

It is a super-3 number, since 3×1121331001003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322159 + ... + 572758.

It is an arithmetic number, because the mean of its divisors is an integer number (3883944120).

Almost surely, 2112133100100 is an apocalyptic number.

112133100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112133100100 is an abundant number, since it is smaller than the sum of its proper divisors (167510876540).

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

112133100100 is a wasteful number, since it uses less digits than its factorization.

112133100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895117 (or 895110 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 112133100100 its reverse (1001331211), we get a palindrome (113134431311).

The spelling of 112133100100 in words is "one hundred twelve billion, one hundred thirty-three million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1790 2506 3580 4475 5012 6265 8950 12530 17900 25060 31325 62650 125300 894917 1789834 3579668 4474585 6264419 8949170 12528838 17898340 22372925 25057676 31322095 44745850 62644190 89491700 125288380 156610475 160190143 313220950 320380286 626441900 640760572 800950715 1121331001 1601901430 2242662002 3203802860 4004753575 4485324004 5606655005 8009507150 11213310010 16019014300 22426620020 28033275025 56066550050 112133100100