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102613 = 7107137
BaseRepresentation
bin11001000011010101
312012202111
4121003111
511240423
62111021
7605110
oct310325
9165674
10102613
1170105
124b471
1337924
1429577
152060d
hex190d5

102613 has 8 divisors (see below), whose sum is σ = 119232. Its totient is φ = 86496.

The previous prime is 102611. The next prime is 102643. The reversal of 102613 is 316201.

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 102613 - 21 = 102611 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102593 and 102602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (14904).

2102613 is an apocalyptic number.

It is an amenable number.

102613 is a deficient number, since it is larger than the sum of its proper divisors (16619).

102613 is a wasteful number, since it uses less digits than its factorization.

102613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 102613 is about 320.3326396108. The cubic root of 102613 is about 46.8166996677.

Adding to 102613 its reverse (316201), we get a palindrome (418814).

It can be divided in two parts, 102 and 613, that multiplied together give a palindrome (62526).

The spelling of 102613 in words is "one hundred two thousand, six hundred thirteen".

Divisors: 1 7 107 137 749 959 14659 102613