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112100120020 = 22572940736779
BaseRepresentation
bin110100001100110110…
…0000001010111010100
3101201100110011010110001
41220121230001113110
53314040112320040
6123255330341044
711045642204230
oct1503154012724
9351313133401
10112100120020
11435a5660399
121988612a784
13a75662a585
1455d60a15c0
152db168559a
hex1a19b015d4

112100120020 has 96 divisors (see below), whose sum is σ = 278426937600. Its totient is φ = 37094421504.

The previous prime is 112100119981. The next prime is 112100120071. The reversal of 112100120020 is 20021001211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112100119979 and 112100120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16532991 + ... + 16539769.

It is an arithmetic number, because the mean of its divisors is an integer number (2900280600).

Almost surely, 2112100120020 is an apocalyptic number.

112100120020 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 112100120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139213468800).

112100120020 is an abundant number, since it is smaller than the sum of its proper divisors (166326817580).

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

112100120020 is a wasteful number, since it uses less digits than its factorization.

112100120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112100120020 its reverse (20021001211), we get a palindrome (132121121231).

The spelling of 112100120020 in words is "one hundred twelve billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 4073 6779 8146 13558 16292 20365 27116 28511 33895 40730 47453 57022 67790 81460 94906 114044 118117 135580 142555 189812 196591 236234 237265 285110 393182 472468 474530 570220 590585 786364 826819 949060 982955 1181170 1376137 1653638 1965910 2362340 2752274 3307276 3931820 4134095 5504548 6880685 8268190 13761370 16536380 27522740 27610867 55221734 110443468 138054335 193276069 276108670 386552138 552217340 773104276 800715143 966380345 1601430286 1932760690 3202860572 3865521380 4003575715 5605006001 8007151430 11210012002 16014302860 22420024004 28025030005 56050060010 112100120020