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112022102100 = 223521630122907
BaseRepresentation
bin110100001010100001…
…0011010000001010100
3101201011000100101222110
41220111002122001110
53313410124231400
6123243502231020
711044004104566
oct1502502320124
9351130311873
10112022102100
1143565613377
1219863b85470
13a74341241c
1455c9993336
152da98c3e50
hex1a1509a054

112022102100 has 72 divisors (see below), whose sum is σ = 324151315488. Its totient is φ = 29869424000.

The previous prime is 112022102099. The next prime is 112022102111. The reversal of 112022102100 is 1201220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4878847 + ... + 4901753.

It is an arithmetic number, because the mean of its divisors is an integer number (4502101604).

Almost surely, 2112022102100 is an apocalyptic number.

112022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022102100 is an abundant number, since it is smaller than the sum of its proper divisors (212129213388).

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

112022102100 is a wasteful number, since it uses less digits than its factorization.

112022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39225 (or 39218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112022102100 its reverse (1201220211), we get a palindrome (113223322311).

The spelling of 112022102100 in words is "one hundred twelve billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 16301 22907 32602 45814 48903 65204 68721 81505 91628 97806 114535 137442 163010 195612 229070 244515 274884 326020 343605 407525 458140 489030 572675 687210 815050 978060 1145350 1222575 1374420 1630100 1718025 2290700 2445150 3436050 4890300 6872100 373407007 746814014 1120221021 1493628028 1867035035 2240442042 3734070070 4480884084 5601105105 7468140140 9335175175 11202210210 18670350350 22404420420 28005525525 37340700700 56011051050 112022102100