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102213313 = 2910134897
BaseRepresentation
bin1100001011110…
…10011011000001
321010022222022021
412011322123001
5202131311223
614050441441
72350540666
oct605723301
9233288267
10102213313
1152773414
122a293281
131823a067
14d809a6d
158e9065d
hex617a6c1

102213313 has 8 divisors (see below), whose sum is σ = 106787880. Its totient is φ = 97708800.

The previous prime is 102213301. The next prime is 102213317. The reversal of 102213313 is 313312201.

It can be written as a sum of positive squares in 4 ways, for example, as 15499969 + 86713344 = 3937^2 + 9312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102213313 - 29 = 102212801 is a prime.

It is a super-2 number, since 2×1022133132 = 20895122708871938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213317) 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 7 ways as a sum of consecutive naturals, for example, 14520 + ... + 20377.

It is an arithmetic number, because the mean of its divisors is an integer number (13348485).

Almost surely, 2102213313 is an apocalyptic number.

It is an amenable number.

102213313 is a deficient number, since it is larger than the sum of its proper divisors (4574567).

102213313 is a wasteful number, since it uses less digits than its factorization.

102213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35027.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 102213313 is about 10110.0599899308. The cubic root of 102213313 is about 467.5583546934.

Adding to 102213313 its reverse (313312201), we get a palindrome (415525514).

The spelling of 102213313 in words is "one hundred two million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 29 101 2929 34897 1012013 3524597 102213313