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112031434242 = 232713178938231
BaseRepresentation
bin110100001010110011…
…0000000011000000010
3101201011122220112021100
41220111212000120002
53313420021343432
6123244434235230
711044146323160
oct1502546003002
9351148815240
10112031434242
114356a907792
1219867125b16
13a74532bcc0
1455cad02230
152daa61907c
hex1a15980602

112031434242 has 96 divisors (see below), whose sum is σ = 298925303040. Its totient is φ = 29529463680.

The previous prime is 112031434211. The next prime is 112031434267. The reversal of 112031434242 is 242434130211.

112031434242 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 314 + 342 + 4 + 2 = 666.

It is a super-3 number, since 3×1120314342423 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2911267 + ... + 2949497.

It is an arithmetic number, because the mean of its divisors is an integer number (3113805240).

Almost surely, 2112031434242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112031434242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149462651520).

112031434242 is an abundant number, since it is smaller than the sum of its proper divisors (186893868798).

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

112031434242 is a wasteful number, since it uses less digits than its factorization.

112031434242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40048 (or 40045 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 112031434242 its reverse (242434130211), we get a palindrome (354465564453).

The spelling of 112031434242 in words is "one hundred twelve billion, thirty-one million, four hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1789 3578 5367 10734 12523 16101 23257 25046 32202 37569 38231 46514 69771 75138 76462 112707 114693 139542 162799 209313 225414 229386 267617 325598 344079 418626 488397 497003 535234 688158 802851 976794 994006 1465191 1491009 1605702 2408553 2930382 2982018 3479021 4473027 4817106 6958042 8946054 10437063 20874126 31311189 62622378 68395259 136790518 205185777 410371554 478766813 615557331 889138367 957533626 1231114662 1436300439 1778276734 2667415101 2872600878 4308901317 5334830202 6223968569 8002245303 8617802634 12447937138 16004490606 18671905707 37343811414 56015717121 112031434242