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112041565100 = 225217418091987
BaseRepresentation
bin110100001011000110…
…0101001101110101100
3101201012100222020012022
41220112030221232230
53313430120040400
6123245435325312
711044331406203
oct1502614515654
9351170866168
10112041565100
11435755a71a3
121986a5b0838
13a7474682aa
1455cc3bc23a
152dab46ab85
hex1a16329bac

112041565100 has 144 divisors (see below), whose sum is σ = 264169654560. Its totient is φ = 41080012800.

The previous prime is 112041565093. The next prime is 112041565159. The reversal of 112041565100 is 1565140211.

It is a self number, because there is not a number n which added to its sum of digits gives 112041565100.

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, 56386307 + ... + 56388293.

It is an arithmetic number, because the mean of its divisors is an integer number (1834511490).

Almost surely, 2112041565100 is an apocalyptic number.

112041565100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112041565100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132084827280).

112041565100 is an abundant number, since it is smaller than the sum of its proper divisors (152128089460).

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

112041565100 is a wasteful number, since it uses less digits than its factorization.

112041565100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 112041565100 in words is "one hundred twelve billion, forty-one million, five hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 809 820 850 1025 1394 1618 1700 1987 2050 2788 3236 3485 3974 4045 4100 6970 7948 8090 9935 13753 13940 16180 17425 19870 20225 27506 33169 33779 34850 39740 40450 49675 55012 66338 67558 68765 69700 80900 81467 99350 132676 135116 137530 162934 165845 168895 198700 275060 325868 331690 337790 343825 407335 563873 663380 675580 687650 814670 829225 844475 1127746 1375300 1384939 1607483 1629340 1658450 1688950 2036675 2255492 2769878 2819365 3214966 3316900 3377900 4073350 5539756 5638730 6429932 6924695 8037415 8146700 11277460 13849390 14096825 16074830 27327211 27698780 28193650 32149660 34623475 40187075 54654422 56387300 65906803 69246950 80374150 109308844 131813606 136636055 138493900 160748300 263627212 273272110 329534015 546544220 659068030 683180275 1120415651 1318136060 1366360550 1647670075 2240831302 2732721100 3295340150 4481662604 5602078255 6590680300 11204156510 22408313020 28010391275 56020782550 112041565100