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102314542213 = 1317989437509
BaseRepresentation
bin101111101001001101…
…1000000010010000101
3100210002110212021021101
41133102123000102011
53134020010322323
6115000323420101
710251310154662
oct1372233002205
9323073767241
10102314542213
113a433989a04
12179b4b24631
1398571a6a50
144d485d6a69
1529dc52edad
hex17d26c0485

102314542213 has 8 divisors (see below), whose sum is σ = 110191268600. Its totient is φ = 94438726848.

The previous prime is 102314542147. The next prime is 102314542219. The reversal of 102314542213 is 312245413201.

It can be written as a sum of positive squares in 4 ways, for example, as 14581287009 + 87733255204 = 120753^2 + 296198^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102314542213 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 (102314542219) 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, 15103 + ... + 452611.

It is an arithmetic number, because the mean of its divisors is an integer number (13773908575).

Almost surely, 2102314542213 is an apocalyptic number.

102314542213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102314542213 is a deficient number, since it is larger than the sum of its proper divisors (7876726387).

102314542213 is a wasteful number, since it uses less digits than its factorization.

102314542213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455511.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 102314542213 its reverse (312245413201), we get a palindrome (414559955414).

The spelling of 102314542213 in words is "one hundred two billion, three hundred fourteen million, five hundred forty-two thousand, two hundred thirteen".

Divisors: 1 13 17989 233857 437509 5687617 7870349401 102314542213