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100012644 = 2234308681
BaseRepresentation
bin1011111011000…
…01001001100100
320222012011120000
411331201021210
5201100401034
613531341300
72323044024
oct575411144
9228164500
10100012644
11514aaa86
12295b1830
13179494a4
14d3d5a84
158ba8599
hex5f61264

100012644 has 30 divisors (see below), whose sum is σ = 261453654. Its totient is φ = 33337440.

The previous prime is 100012621. The next prime is 100012651. The reversal of 100012644 is 446210001.

100012644 is a `hidden beast` number, since 10 + 0 + 0 + 12 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78110244 + 21902400 = 8838^2 + 4680^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 9 ways as a sum of consecutive naturals, for example, 154017 + ... + 154664.

Almost surely, 2100012644 is an apocalyptic number.

It is an amenable number.

100012644 is an abundant number, since it is smaller than the sum of its proper divisors (161441010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100012644 is a wasteful number, since it uses less digits than its factorization.

100012644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308697 (or 308686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100012644 is about 10000.6321800174. The cubic root of 100012644 is about 464.1784452866.

Adding to 100012644 its reverse (446210001), we get a palindrome (546222645).

The spelling of 100012644 in words is "one hundred million, twelve thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 308681 617362 926043 1234724 1852086 2778129 3704172 5556258 8334387 11112516 16668774 25003161 33337548 50006322 100012644