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100918393 = 267137783
BaseRepresentation
bin1100000001111…
…10010001111001
321000220012000021
412000332101321
5201313342033
614003010441
72333535502
oct600762171
9230805007
10100918393
1151a69534
1229969a21
1317ba5834
14d58dba9
158cd6b2d
hex603e479

100918393 has 4 divisors (see below), whose sum is σ = 100958848. Its totient is φ = 100877940.

The previous prime is 100918381. The next prime is 100918397. The reversal of 100918393 is 393819001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 393819001 = 1877209813.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100918393 is a prime.

It is a super-3 number, since 3×1009183933 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100918397) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16221 + ... + 21562.

It is an arithmetic number, because the mean of its divisors is an integer number (25239712).

Almost surely, 2100918393 is an apocalyptic number.

It is an amenable number.

100918393 is a deficient number, since it is larger than the sum of its proper divisors (40455).

100918393 is an equidigital number, since it uses as much as digits as its factorization.

100918393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40454.

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 100918393 is about 10045.8147006602. The cubic root of 100918393 is about 465.5754897314.

The spelling of 100918393 in words is "one hundred million, nine hundred eighteen thousand, three hundred ninety-three".

Divisors: 1 2671 37783 100918393