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112202100112 = 2417412507721
BaseRepresentation
bin110100001111111000…
…1000010110110010000
3101201121120001020211111
41220133301002312100
53314242214200422
6123313412223104
711051321054254
oct1503761026620
9351546036744
10112202100112
1143648184563
12198b430aa94
13a7717b541b
14560584a264
152dba5cba77
hex1a1fc42d90

112202100112 has 20 divisors (see below), whose sum is σ = 230179308876. Its totient is φ = 52800988160.

The previous prime is 112202100097. The next prime is 112202100119. The reversal of 112202100112 is 211001202211.

It can be written as a sum of positive squares in 2 ways, for example, as 87660997776 + 24541102336 = 296076^2 + 156656^2 .

It is a super-2 number, since 2×1122021001122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112202100092 and 112202100101.

It is not an unprimeable number, because it can be changed into a prime (112202100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206253589 + ... + 206254132.

Almost surely, 2112202100112 is an apocalyptic number.

It is an amenable number.

112202100112 is an abundant number, since it is smaller than the sum of its proper divisors (117977208764).

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

112202100112 is a wasteful number, since it uses less digits than its factorization.

112202100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412507746 (or 412507740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112202100112 its reverse (211001202211), we get a palindrome (323203302323).

The spelling of 112202100112 in words is "one hundred twelve billion, two hundred two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 412507721 825015442 1650030884 3300061768 6600123536 7012631257 14025262514 28050525028 56101050056 112202100112