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102312020013 = 374872000953
BaseRepresentation
bin101111101001001000…
…1011000100000101101
3100210002022010010110120
41133102101120200231
53134013334120023
6115000153355153
710251246551430
oct1372221304055
9323068103416
10102312020013
113a432516a45
12179b4108ab9
139856802a18
144d4813b817
1529dc1d28e3
hex17d245882d

102312020013 has 8 divisors (see below), whose sum is σ = 155904030528. Its totient is φ = 58464011424.

The previous prime is 102312020011. The next prime is 102312020081. The reversal of 102312020013 is 310020213201.

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

It is not a de Polignac number, because 102312020013 - 21 = 102312020011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102312019974 and 102312020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2436000456 + ... + 2436000497.

It is an arithmetic number, because the mean of its divisors is an integer number (19488003816).

Almost surely, 2102312020013 is an apocalyptic number.

It is an amenable number.

102312020013 is a deficient number, since it is larger than the sum of its proper divisors (53592010515).

102312020013 is an equidigital number, since it uses as much as digits as its factorization.

102312020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872000963.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102312020013 its reverse (310020213201), we get a palindrome (412332233214).

The spelling of 102312020013 in words is "one hundred two billion, three hundred twelve million, twenty thousand, thirteen".

Divisors: 1 3 7 21 4872000953 14616002859 34104006671 102312020013