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112100044131 = 32177112778081
BaseRepresentation
bin110100001100110101…
…1101110110101100011
3101201100110000021100100
41220121223232311203
53314040102403011
6123255324553443
711045641440045
oct1503153566543
9351313007310
10112100044131
11435a5609379
12198860b2883
13a756601b7a
1455d6081a95
152db166cd56
hex1a19aeed63

112100044131 has 48 divisors (see below), whose sum is σ = 174019555008. Its totient is φ = 69283737600.

The previous prime is 112100044123. The next prime is 112100044193. The reversal of 112100044131 is 131440001211.

112100044131 is a `hidden beast` number, since 11 + 210 + 0 + 0 + 441 + 3 + 1 = 666.

It is not a de Polignac number, because 112100044131 - 23 = 112100044123 is a prime.

It is a super-2 number, since 2×1121000441312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112100044831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13868011 + ... + 13876091.

It is an arithmetic number, because the mean of its divisors is an integer number (3625407396).

Almost surely, 2112100044131 is an apocalyptic number.

112100044131 is a deficient number, since it is larger than the sum of its proper divisors (61919510877).

112100044131 is a wasteful number, since it uses less digits than its factorization.

112100044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112100044131 its reverse (131440001211), we get a palindrome (243540045342).

The spelling of 112100044131 in words is "one hundred twelve billion, one hundred million, forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 71 153 213 639 1207 1277 3621 3831 8081 10863 11493 21709 24243 65127 72729 90667 137377 195381 272001 412131 573751 816003 1236393 1541339 1721253 4624017 5163759 9753767 10319437 13872051 29261301 30958311 87783903 92874933 175430429 526291287 732680027 1578873861 2198040081 6594120243 12455560459 37366681377 112100044131