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101919164 = 22233779379
BaseRepresentation
bin1100001001100…
…10100110111100
321002210000210212
412010302212330
5202042403124
614040251552
72345204264
oct604624674
9232700725
10101919164
1152592416
122a170bb8
13181661c9
14d7707a4
158e3340e
hex61329bc

101919164 has 48 divisors (see below), whose sum is σ = 194073600. Its totient is φ = 46702656.

The previous prime is 101919157. The next prime is 101919197. The reversal of 101919164 is 461919101.

It is a self number, because there is not a number n which added to its sum of digits gives 101919164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268727 + ... + 269105.

It is an arithmetic number, because the mean of its divisors is an integer number (4043200).

Almost surely, 2101919164 is an apocalyptic number.

It is an amenable number.

101919164 is a deficient number, since it is larger than the sum of its proper divisors (92154436).

101919164 is a wasteful number, since it uses less digits than its factorization.

101919164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 101919164 is about 10095.5021668068. The cubic root of 101919164 is about 467.1094113375.

The spelling of 101919164 in words is "one hundred one million, nine hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 4 23 37 46 74 79 92 148 158 316 379 758 851 1516 1702 1817 2923 3404 3634 5846 7268 8717 11692 14023 17434 28046 29941 34868 56092 59882 67229 119764 134458 268916 322529 645058 688643 1107817 1290116 1377286 2215634 2754572 4431268 25479791 50959582 101919164