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112131261116 = 22725312298783
BaseRepresentation
bin110100001101110001…
…0110100001010111100
3101201102121202020222222
41220123202310022330
53314121100323431
6123302402024512
711046500664500
oct1503342641274
9351377666888
10112131261116
11436111a0136
1219894648138
13a75cc11a64
1455da28a300
152db428757b
hex1a1b8b42bc

112131261116 has 72 divisors (see below), whose sum is σ = 232789878720. Its totient is φ = 47105804928.

The previous prime is 112131261089. The next prime is 112131261131. The reversal of 112131261116 is 611162131211.

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, 12762461 + ... + 12771243.

It is an arithmetic number, because the mean of its divisors is an integer number (3233192760).

Almost surely, 2112131261116 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 112131261116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116394939360).

112131261116 is an abundant number, since it is smaller than the sum of its proper divisors (120658617604).

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

112131261116 is a wasteful number, since it uses less digits than its factorization.

112131261116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10074 counting only the distinct ones).

The product of its digits is 432, while the sum is 26.

Adding to 112131261116 its reverse (611162131211), we get a palindrome (723293392327).

The spelling of 112131261116 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1229 1484 2458 2597 4916 5194 8603 8783 10388 17206 17566 34412 35132 60221 61481 65137 120442 122962 130274 240884 245924 260548 430367 455959 465499 860734 911918 930998 1721468 1823836 1861996 3191713 3258493 6383426 6516986 10794307 12766852 13033972 21588614 22809451 43177228 45618902 75560149 91237804 151120298 302240596 528921043 572098271 1057842086 1144196542 2115684172 2288393084 4004687897 8009375794 16018751588 28032815279 56065630558 112131261116