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100609012 = 2273123739
BaseRepresentation
bin1011111111100…
…10101111110100
321000022110121201
411333302233310
5201223442022
613552222244
72331106510
oct577625764
9230273551
10100609012
1151878049
122983a984
1317ac7a7a
14d50d140
158c75127
hex5ff2bf4

100609012 has 36 divisors (see below), whose sum is σ = 207973920. Its totient is φ = 41716080.

The previous prime is 100609001. The next prime is 100609037. The reversal of 100609012 is 210906001.

It is a super-2 number, since 2×1006090122 = 20244346591232288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25039 + ... + 28777.

Almost surely, 2100609012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100609012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103986960).

100609012 is an abundant number, since it is smaller than the sum of its proper divisors (107364908).

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

100609012 is a wasteful number, since it uses less digits than its factorization.

100609012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 100609012 is about 10030.4043786878. The cubic root of 100609012 is about 465.0992380788.

The spelling of 100609012 in words is "one hundred million, six hundred nine thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 961 1922 3739 3844 6727 7478 13454 14956 26173 26908 52346 104692 115909 231818 463636 811363 1622726 3245452 3593179 7186358 14372716 25152253 50304506 100609012