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112123031220 = 223351000720749
BaseRepresentation
bin110100001101100001…
…1011010111010110100
3101201102001021010201000
41220123003122322310
53314111443444340
6123301505403300
711046341016564
oct1503303327264
9351361233630
10112123031220
1143607589972
1219891939530
13a75b2bcab5
1455d9146da4
152db36add30
hex1a1b0daeb4

112123031220 has 96 divisors (see below), whose sum is σ = 348878880000. Its totient is φ = 29895046272.

The previous prime is 112123031213. The next prime is 112123031221. The reversal of 112123031220 is 22130321211.

112123031220 is a `hidden beast` number, since 1 + 121 + 230 + 312 + 2 + 0 = 666.

It is a super-2 number, since 2×1121230312202 (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 = 112123031193 and 112123031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123031221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5393406 + ... + 5414154.

It is an arithmetic number, because the mean of its divisors is an integer number (3634155000).

Almost surely, 2112123031220 is an apocalyptic number.

112123031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112123031220 is an abundant number, since it is smaller than the sum of its proper divisors (236755848780).

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

112123031220 is a wasteful number, since it uses less digits than its factorization.

112123031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30774 (or 30766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112123031220 its reverse (22130321211), we get a palindrome (134253352431).

The spelling of 112123031220 in words is "one hundred twelve billion, one hundred twenty-three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 10007 20014 20749 30021 40028 41498 50035 60042 62247 82996 90063 100070 103745 120084 124494 150105 180126 186741 200140 207490 248988 270189 300210 311235 360252 373482 414980 450315 540378 560223 600420 622470 746964 900630 933705 1080756 1120446 1244940 1350945 1801260 1867410 2240892 2701890 2801115 3734820 5403780 5602230 11204460 207635243 415270486 622905729 830540972 1038176215 1245811458 1868717187 2076352430 2491622916 3114528645 3737434374 4152704860 5606151561 6229057290 7474868748 9343585935 11212303122 12458114580 18687171870 22424606244 28030757805 37374343740 56061515610 112123031220