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112431424131 = 3213273919411
BaseRepresentation
bin110100010110101101…
…1110110001010000011
3101202012112120010020200
41220231123312022003
53320224421033011
6123352243340243
711060104223355
oct1505533661203
9352175503220
10112431424131
1143755676044
1219959081683
13a7aa168b00
1456280a30d5
152dd07c9856
hex1a2d6f6283

112431424131 has 18 divisors (see below), whose sum is σ = 175854281148. Its totient is φ = 69188567760.

The previous prime is 112431424129. The next prime is 112431424139. The reversal of 112431424131 is 131424134211.

It is a happy number.

112431424131 is a `hidden beast` number, since 1 + 1 + 243 + 1 + 4 + 2 + 413 + 1 = 666.

It is not a de Polignac number, because 112431424131 - 21 = 112431424129 is a prime.

It is a super-2 number, since 2×1124314241312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112431424095 and 112431424104.

It is not an unprimeable number, because it can be changed into a prime (112431424139) 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 17 ways as a sum of consecutive naturals, for example, 36958185 + ... + 36961226.

It is an arithmetic number, because the mean of its divisors is an integer number (9769682286).

Almost surely, 2112431424131 is an apocalyptic number.

112431424131 is a deficient number, since it is larger than the sum of its proper divisors (63422857017).

112431424131 is a wasteful number, since it uses less digits than its factorization.

112431424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73919443 (or 73919427 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 112431424131 its reverse (131424134211), we get a palindrome (243855558342).

The spelling of 112431424131 in words is "one hundred twelve billion, four hundred thirty-one million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 73919411 221758233 665274699 960952343 2882857029 8648571087 12492380459 37477141377 112431424131