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112010022020 = 225137923922817
BaseRepresentation
bin110100001010001010…
…0010100110010000100
3101201010011121200020002
41220110110110302010
53313344031201040
6123242351300432
711043466322651
oct1502424246204
9351104550202
10112010022020
1143559812436
121985bb1a718
13a740a72b50
1455c812ac28
152da87d9a15
hex1a14514c84

112010022020 has 96 divisors (see below), whose sum is σ = 257606092800. Its totient is φ = 40661397504.

The previous prime is 112010022017. The next prime is 112010022049. The reversal of 112010022020 is 20220010211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112010021992 and 112010022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897652 + ... + 4920468.

It is an arithmetic number, because the mean of its divisors is an integer number (2683396800).

Almost surely, 2112010022020 is an apocalyptic number.

112010022020 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 112010022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128803046400).

112010022020 is an abundant number, since it is smaller than the sum of its proper divisors (145596070780).

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

112010022020 is a wasteful number, since it uses less digits than its factorization.

112010022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23157 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112010022020 its reverse (20220010211), we get a palindrome (132230032231).

The spelling of 112010022020 in words is "one hundred twelve billion, ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 239 260 316 395 478 790 956 1027 1195 1580 2054 2390 3107 4108 4780 5135 6214 10270 12428 15535 18881 20540 22817 31070 37762 45634 62140 75524 91268 94405 114085 188810 228170 245453 296621 377620 456340 490906 593242 981812 1186484 1227265 1483105 1802543 2454530 2966210 3605086 4909060 5453263 5932420 7210172 9012715 10906526 18025430 21813052 23433059 27266315 36050860 46866118 54532630 70892419 93732236 109065260 117165295 141784838 234330590 283569676 354462095 430807777 468661180 708924190 861615554 1417848380 1723231108 2154038885 4308077770 5600501101 8616155540 11201002202 22402004404 28002505505 56005011010 112010022020