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112300233120 = 2532577986273
BaseRepresentation
bin110100010010110011…
…1011001000110100000
3101201212101200221000100
41220211213121012200
53314442324424440
6123331235422400
711053622142315
oct1504547310640
9351771627010
10112300233120
1143698610319
1219921154a00
13a788c241aa
1456148b2d0c
152dc4013230
hex1a259d91a0

112300233120 has 72 divisors (see below), whose sum is σ = 383224550436. Its totient is φ = 29946728448.

The previous prime is 112300233091. The next prime is 112300233167. The reversal of 112300233120 is 21332003211.

112300233120 is a `hidden beast` number, since 1 + 12 + 300 + 2 + 331 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93922635024 + 18377598096 = 306468^2 + 135564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1123002331202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112300233093 and 112300233102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38991697 + ... + 38994576.

Almost surely, 2112300233120 is an apocalyptic number.

112300233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112300233120 is an abundant number, since it is smaller than the sum of its proper divisors (270924317316).

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

112300233120 is a wasteful number, since it uses less digits than its factorization.

112300233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77986294 (or 77986283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112300233120 its reverse (21332003211), we get a palindrome (133632236331).

The spelling of 112300233120 in words is "one hundred twelve billion, three hundred million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 77986273 155972546 233958819 311945092 389931365 467917638 623890184 701876457 779862730 935835276 1169794095 1247780368 1403752914 1559725460 1871670552 2339588190 2495560736 2807505828 3119450920 3509382285 3743341104 4679176380 5615011656 6238901840 7018764570 7486682208 9358352760 11230023312 12477803680 14037529140 18716705520 22460046624 28075058280 37433411040 56150116560 112300233120