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112131030100 = 22521121310301
BaseRepresentation
bin110100001101110000…
…1111011110001010100
3101201102121022112002211
41220123201323301110
53314121020430400
6123302353043204
711046466013125
oct1503341736124
9351377275084
10112131030100
1143611052611
1219894556504
13a75cb6086b
1455da22a04c
152db423ddba
hex1a1b87bc54

112131030100 has 18 divisors (see below), whose sum is σ = 243324335534. Its totient is φ = 44852412000.

The previous prime is 112131030079. The next prime is 112131030103. The reversal of 112131030100 is 1030131211.

It can be written as a sum of positive squares in 3 ways, for example, as 35519433156 + 76611596944 = 188466^2 + 276788^2 .

It is a super-2 number, since 2×1121310301002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131030103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560655051 + ... + 560655250.

Almost surely, 2112131030100 is an apocalyptic number.

112131030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112131030100 is an abundant number, since it is smaller than the sum of its proper divisors (131193305434).

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

112131030100 is a wasteful number, since it uses less digits than its factorization.

112131030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121310315 (or 1121310308 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 112131030100 its reverse (1030131211), we get a palindrome (113161161311).

The spelling of 112131030100 in words is "one hundred twelve billion, one hundred thirty-one million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1121310301 2242620602 4485241204 5606551505 11213103010 22426206020 28032757525 56065515050 112131030100