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100564161 = 3475313457
BaseRepresentation
bin1011111111001…
…11110011000001
321000020012002120
411333213303001
5201221023121
613551234453
72330531655
oct577476301
9230205076
10100564161
1151847385
1229818a29
1317ab0529
14d4daa65
158c66bc6
hex5fe7cc1

100564161 has 16 divisors (see below), whose sum is σ = 139532544. Its totient is φ = 64373504.

The previous prime is 100564159. The next prime is 100564171. The reversal of 100564161 is 161465001.

It is a cyclic number.

It is not a de Polignac number, because 100564161 - 21 = 100564159 is a prime.

It is a super-2 number, since 2×1005641612 = 20226300955267842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100564111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 14201.

It is an arithmetic number, because the mean of its divisors is an integer number (8720784).

Almost surely, 2100564161 is an apocalyptic number.

It is an amenable number.

100564161 is a deficient number, since it is larger than the sum of its proper divisors (38968383).

100564161 is a wasteful number, since it uses less digits than its factorization.

100564161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13560.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 100564161 is about 10028.1683771265. The cubic root of 100564161 is about 465.0301148261.

The spelling of 100564161 in words is "one hundred million, five hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 3 47 53 141 159 2491 7473 13457 40371 632479 713221 1897437 2139663 33521387 100564161