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42102313 = 112349997
BaseRepresentation
bin1010000010011…
…0111000101001
32221020000111221
42200212320221
541234233223
64102222041
71020602161
oct240467051
987200457
1042102313
1121847100
1212124921
138951716
14583d5a1
153a69b5d
hex2826e29

42102313 has 12 divisors (see below), whose sum is σ = 46456900. Its totient is φ = 38126880.

The previous prime is 42102311. The next prime is 42102317. The reversal of 42102313 is 31320124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 8369449 = 5808^2 + 2893^2 .

It is not a de Polignac number, because 42102313 - 21 = 42102311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42102311) 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 11 ways as a sum of consecutive naturals, for example, 41731 + ... + 42727.

Almost surely, 242102313 is an apocalyptic number.

It is an amenable number.

42102313 is a deficient number, since it is larger than the sum of its proper divisors (4354587).

42102313 is a wasteful number, since it uses less digits than its factorization.

42102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42102313 is about 6488.6295163154. The cubic root of 42102313 is about 347.8846917264.

Adding to 42102313 its reverse (31320124), we get a palindrome (73422437).

The spelling of 42102313 in words is "forty-two million, one hundred two thousand, three hundred thirteen".

Divisors: 1 11 121 349 997 3839 10967 42229 120637 347953 3827483 42102313