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102013023 = 375778419
BaseRepresentation
bin1100001010010…
…01100001011111
321002221210120010
412011021201133
5202103404043
614042254303
72346045030
oct605114137
9232853503
10102013023
1152646992
122a1b7393
1318199b48
14d796a87
158e51133
hex614985f

102013023 has 16 divisors (see below), whose sum is σ = 155736320. Its totient is φ = 58185216.

The previous prime is 102013019. The next prime is 102013031. The reversal of 102013023 is 320310201.

It is a happy number.

It is not a de Polignac number, because 102013023 - 22 = 102013019 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013003) 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 15 ways as a sum of consecutive naturals, for example, 7908 + ... + 16326.

It is an arithmetic number, because the mean of its divisors is an integer number (9733520).

Almost surely, 2102013023 is an apocalyptic number.

102013023 is a deficient number, since it is larger than the sum of its proper divisors (53723297).

102013023 is an equidigital number, since it uses as much as digits as its factorization.

102013023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102013023 is about 10100.1496523566. The cubic root of 102013023 is about 467.2527568707.

Adding to 102013023 its reverse (320310201), we get a palindrome (422323224).

The spelling of 102013023 in words is "one hundred two million, thirteen thousand, twenty-three".

Divisors: 1 3 7 21 577 1731 4039 8419 12117 25257 58933 176799 4857763 14573289 34004341 102013023