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100656413 = 11135931187
BaseRepresentation
bin1011111111111…
…10010100011101
321000101212122022
411333332110131
5201232001123
613553225525
72331364634
oct577762435
9230355568
10100656413
11518aa720
12298622a5
1317b13510
14d52251b
158c841c8
hex5ffe51d

100656413 has 16 divisors (see below), whose sum is σ = 118552896. Its totient is φ = 84253440.

The previous prime is 100656407. The next prime is 100656443. The reversal of 100656413 is 314656001.

It is not a de Polignac number, because 100656413 - 212 = 100652317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100656443) 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 15 ways as a sum of consecutive naturals, for example, 84206 + ... + 85392.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2100656413 is an apocalyptic number.

100656413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100656413 is a deficient number, since it is larger than the sum of its proper divisors (17896483).

100656413 is a wasteful number, since it uses less digits than its factorization.

100656413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 100656413 is about 10032.7669662960. The cubic root of 100656413 is about 465.1722690038.

The spelling of 100656413 in words is "one hundred million, six hundred fifty-six thousand, four hundred thirteen".

Divisors: 1 11 13 143 593 1187 6523 7709 13057 15431 84799 169741 703891 7742801 9150583 100656413