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112075304952 = 233132937334777
BaseRepresentation
bin110100001100000110…
…1010110111111111000
3101201021201110101120110
41220120031112333320
53314012234224302
6123253042424320
711045221242132
oct1503015267770
9351251411513
10112075304952
1143592651476
12198799620a0
13a75144c5c0
1455d2a82052
152dae3d2b6c
hex1a18356ff8

112075304952 has 128 divisors (see below), whose sum is σ = 320583412800. Its totient is φ = 32395603968.

The previous prime is 112075304951. The next prime is 112075304977. The reversal of 112075304952 is 259403570211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 112075304952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112075304951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167388 + ... + 502164.

Almost surely, 2112075304952 is an apocalyptic number.

112075304952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 334776×334777.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112075304952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160291706400).

112075304952 is an abundant number, since it is smaller than the sum of its proper divisors (208508107848).

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

112075304952 is a wasteful number, since it uses less digits than its factorization.

112075304952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334865 (or 334861 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 112075304952 in words is "one hundred twelve billion, seventy-five million, three hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 37 39 52 58 74 78 87 104 111 116 148 156 174 222 232 296 312 348 377 444 481 696 754 888 962 1073 1131 1443 1508 1924 2146 2262 2886 3016 3219 3848 4292 4524 5772 6438 8584 9048 11544 12876 13949 25752 27898 41847 55796 83694 111592 167388 334776 334777 669554 1004331 1339108 2008662 2678216 4017324 4352101 8034648 8704202 9708533 12386749 13056303 17408404 19417066 24773498 26112606 29125599 34816808 37160247 38834132 49546996 52225212 58251198 74320494 77668264 99093992 104450424 116502396 126210929 148640988 161027737 233004792 252421858 297281976 322055474 359215721 378632787 483083211 504843716 644110948 718431442 757265574 966166422 1009687432 1077647163 1288221896 1436862884 1514531148 1932332844 2155294326 2873725768 3029062296 3864665688 4310588652 4669804373 8621177304 9339608746 14009413119 18679217492 28018826238 37358434984 56037652476 112075304952