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100918381 is a prime number
BaseRepresentation
bin1100000001111…
…10010001101101
321000220011222211
412000332101231
5201313342011
614003010421
72333535454
oct600762155
9230804884
10100918381
1151a69523
1229969a11
1317ba5825
14d58db9b
158cd6b21
hex603e46d

100918381 has 2 divisors, whose sum is σ = 100918382. Its totient is φ = 100918380.

The previous prime is 100918373. The next prime is 100918397. The reversal of 100918381 is 183819001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100701225 + 217156 = 10035^2 + 466^2 .

It is an emirp because it is prime and its reverse (183819001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100918381 - 23 = 100918373 is a prime.

It is a super-2 number, since 2×1009183812 = 20369039247322322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100916381) 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 as a sum of consecutive naturals, namely, 50459190 + 50459191.

It is an arithmetic number, because the mean of its divisors is an integer number (50459191).

Almost surely, 2100918381 is an apocalyptic number.

It is an amenable number.

100918381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100918381 is an equidigital number, since it uses as much as digits as its factorization.

100918381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 100918381 is about 10045.8141033965. The cubic root of 100918381 is about 465.5754712779.

The spelling of 100918381 in words is "one hundred million, nine hundred eighteen thousand, three hundred eighty-one".