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100442313 = 3267166571
BaseRepresentation
bin1011111110010…
…10000011001001
320222222222221200
411333022003021
5201203123223
613544454413
72326513506
oct577120311
9228888850
10100442313
1151773884
122977a409
1317a69c2a
14d4a84ad
158c40a43
hex5fca0c9

100442313 has 12 divisors (see below), whose sum is σ = 147249648. Its totient is φ = 65961720.

The previous prime is 100442299. The next prime is 100442327. The reversal of 100442313 is 313244001.

It is an interprime number because it is at equal distance from previous prime (100442299) and next prime (100442327).

It is not a de Polignac number, because 100442313 - 24 = 100442297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100442413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82683 + ... + 83888.

It is an arithmetic number, because the mean of its divisors is an integer number (12270804).

Almost surely, 2100442313 is an apocalyptic number.

It is an amenable number.

100442313 is a deficient number, since it is larger than the sum of its proper divisors (46807335).

100442313 is a wasteful number, since it uses less digits than its factorization.

100442313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166644 (or 166641 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100442313 is about 10022.0912488362. The cubic root of 100442313 is about 464.8422218783.

Adding to 100442313 its reverse (313244001), we get a palindrome (413686314).

The spelling of 100442313 in words is "one hundred million, four hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 67 201 603 166571 499713 1499139 11160257 33480771 100442313