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100409412 = 22317509967
BaseRepresentation
bin1011111110000…
…10000001000100
320222221022211010
411333002001010
5201201100122
613544042220
72326315545
oct577020104
9228838733
10100409412
1151751094
1229763370
1317a57c6c
14d49a4cc
158c35e0c
hex5fc2044

100409412 has 48 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 31406592.

The previous prime is 100409411. The next prime is 100409423. The reversal of 100409412 is 214904001.

It is not an unprimeable number, because it can be changed into a prime (100409411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103353 + ... + 104319.

It is an arithmetic number, because the mean of its divisors is an integer number (5183640).

Almost surely, 2100409412 is an apocalyptic number.

100409412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100409412 is an abundant number, since it is smaller than the sum of its proper divisors (148405308).

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

100409412 is a wasteful number, since it uses less digits than its factorization.

100409412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100409412 is about 10020.4496905079. The cubic root of 100409412 is about 464.7914615839.

The spelling of 100409412 in words is "one hundred million, four hundred nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 509 967 1018 1527 1934 2036 2901 3054 3868 5802 6108 8653 11604 16439 17306 25959 32878 34612 49317 51918 65756 98634 103836 197268 492203 984406 1476609 1968812 2953218 5906436 8367451 16734902 25102353 33469804 50204706 100409412