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112311166125 = 3537311336307
BaseRepresentation
bin110100010011001000…
…1000110010010101101
3101201220011021101021110
41220212101012102231
53320003124304000
6123332310022233
711054114106054
oct1504621062255
9351804241243
10112311166125
11436a37a8464
1219924947979
13a78b281622
14561611b39b
152dc4e72850
hex1a264464ad

112311166125 has 64 divisors (see below), whose sum is σ = 191127635712. Its totient is φ = 58554316800.

The previous prime is 112311166091. The next prime is 112311166127. The reversal of 112311166125 is 521661113211.

It is not a de Polignac number, because 112311166125 - 26 = 112311166061 is a prime.

It is a super-2 number, since 2×1123111661252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112311166092 and 112311166101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311166127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3075222 + ... + 3111528.

It is an arithmetic number, because the mean of its divisors is an integer number (2986369308).

Almost surely, 2112311166125 is an apocalyptic number.

112311166125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112311166125 is a deficient number, since it is larger than the sum of its proper divisors (78816469587).

112311166125 is a wasteful number, since it uses less digits than its factorization.

112311166125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36511 (or 36501 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

Adding to 112311166125 its reverse (521661113211), we get a palindrome (633972279336).

The spelling of 112311166125 in words is "one hundred twelve billion, three hundred eleven million, one hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 73 75 113 125 219 339 365 375 565 1095 1695 1825 2825 5475 8249 8475 9125 14125 24747 27375 36307 41245 42375 108921 123735 181535 206225 544605 618675 907675 1031125 2650411 2723025 3093375 4102691 4538375 7951233 12308073 13252055 13615125 20513455 39756165 61540365 66260275 102567275 198780825 299496443 307701825 331301375 512836375 898489329 993904125 1497482215 1538509125 4492446645 7487411075 22462233225 37437055375 112311166125