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413112112029 = 32371240576913
BaseRepresentation
bin1100000001011110110…
…01101001001110011101
31110111022111022200020200
412000233121221032131
523232023200041104
6513440414134113
741563206004611
oct6005731511635
91414274280220
10413112112029
1114a222021221
12680924b1339
132cc58004806
1415dcd793341
15ab2cae3b39
hex602f66939d

413112112029 has 12 divisors (see below), whose sum is σ = 612844995516. Its totient is φ = 267964612992.

The previous prime is 413112112027. The next prime is 413112112033. The reversal of 413112112029 is 920211211314.

413112112029 is a `hidden beast` number, since 413 + 1 + 121 + 120 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271438916004 + 141673196025 = 520998^2 + 376395^2 .

It is not a de Polignac number, because 413112112029 - 21 = 413112112027 is a prime.

It is a super-2 number, since 2×4131121120292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413112111993 and 413112112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413112112027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620288124 + ... + 620288789.

It is an arithmetic number, because the mean of its divisors is an integer number (51070416293).

Almost surely, 2413112112029 is an apocalyptic number.

It is an amenable number.

413112112029 is a deficient number, since it is larger than the sum of its proper divisors (199732883487).

413112112029 is a wasteful number, since it uses less digits than its factorization.

413112112029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240576956 (or 1240576953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 413112112029 in words is "four hundred thirteen billion, one hundred twelve million, one hundred twelve thousand, twenty-nine".

Divisors: 1 3 9 37 111 333 1240576913 3721730739 11165192217 45901345781 137704037343 413112112029