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101606013 = 3211879511
BaseRepresentation
bin1100000111001…
…10001001111101
321002012010020200
412003212021331
5202002343023
614025434113
72342431305
oct603461175
9232163220
10101606013
1152399113
122a03b939
1318086802
14d6cc605
158dc0743
hex60e627d

101606013 has 12 divisors (see below), whose sum is σ = 146903328. Its totient is φ = 67673160.

The previous prime is 101606009. The next prime is 101606069. The reversal of 101606013 is 310606101.

101606013 is a `hidden beast` number, since 1 + 0 + 1 + 60 + 601 + 3 = 666.

It is not a de Polignac number, because 101606013 - 22 = 101606009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606413) 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, 5928 + ... + 15438.

It is an arithmetic number, because the mean of its divisors is an integer number (12241944).

Almost surely, 2101606013 is an apocalyptic number.

It is an amenable number.

101606013 is a deficient number, since it is larger than the sum of its proper divisors (45297315).

101606013 is a wasteful number, since it uses less digits than its factorization.

101606013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101606013 is about 10079.9808035531. The cubic root of 101606013 is about 466.6305159638.

The spelling of 101606013 in words is "one hundred one million, six hundred six thousand, thirteen".

Divisors: 1 3 9 1187 3561 9511 10683 28533 85599 11289557 33868671 101606013