Search a number
-
+
102301311313 = 5315712294353
BaseRepresentation
bin101111101000110100…
…0100010000101010001
3100210001112222001220001
41133101220202011101
53134003113430223
6114555132050001
710251056540635
oct1372150420521
9323045861801
10102301311313
113a427472383
12179b0603901
139854523706
144d46950dc5
1529db2b99ad
hex17d1a22151

102301311313 has 8 divisors (see below), whose sum is σ = 104895428328. Its totient is φ = 99731783424.

The previous prime is 102301311311. The next prime is 102301311347. The reversal of 102301311313 is 313113103201.

It can be written as a sum of positive squares in 4 ways, for example, as 30853625104 + 71447686209 = 175652^2 + 267297^2 .

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 102301311313 - 21 = 102301311311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102301311311) 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, 6138856 + ... + 6155497.

It is an arithmetic number, because the mean of its divisors is an integer number (13111928541).

Almost surely, 2102301311313 is an apocalyptic number.

It is an amenable number.

102301311313 is a deficient number, since it is larger than the sum of its proper divisors (2594117015).

102301311313 is a wasteful number, since it uses less digits than its factorization.

102301311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294563.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 102301311313 its reverse (313113103201), we get a palindrome (415414414514).

The spelling of 102301311313 in words is "one hundred two billion, three hundred one million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 53 157 8321 12294353 651600709 1930213421 102301311313