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102020130013 = 1910750182061
BaseRepresentation
bin101111100000011011…
…1111010010011011101
3100202022221212120122211
41133000313322103131
53132414123130023
6114511205240421
710241103540244
oct1370067722335
9322287776584
10102020130013
113a2a278173a
1217932403111
13980b1b4449
144d1b47995b
1529c1776a0d
hex17c0dfa4dd

102020130013 has 8 divisors (see below), whose sum is σ = 108393253920. Its totient is φ = 95747370480.

The previous prime is 102020130001. The next prime is 102020130031. The reversal of 102020130013 is 310031020201.

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 102020130013 - 29 = 102020129501 is a prime.

It is a super-3 number, since 3×1020201300133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102020129975 and 102020130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020130053) 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, 25088998 + ... + 25093063.

It is an arithmetic number, because the mean of its divisors is an integer number (13549156740).

Almost surely, 2102020130013 is an apocalyptic number.

It is an amenable number.

102020130013 is a deficient number, since it is larger than the sum of its proper divisors (6373123907).

102020130013 is a wasteful number, since it uses less digits than its factorization.

102020130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50182187.

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

Adding to 102020130013 its reverse (310031020201), we get a palindrome (412051150214).

The spelling of 102020130013 in words is "one hundred two billion, twenty million, one hundred thirty thousand, thirteen".

Divisors: 1 19 107 2033 50182061 953459159 5369480527 102020130013