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10103132313 = 3210111114557
BaseRepresentation
bin10010110100011000…
…11001000010011001
3222002002211022001200
421122030121002121
5131142400213223
64350305104413
7505236131151
oct113214310231
928062738050
1010103132313
114314a5592a
121b5b628109
13c50189901
146bbb2b761
153e1e80a43
hex25a319099

10103132313 has 12 divisors (see below), whose sum is σ = 14737903908. Its totient is φ = 6668733600.

The previous prime is 10103132309. The next prime is 10103132353. The reversal of 10103132313 is 31323130101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6654154329 + 3448977984 = 81573^2 + 58728^2 .

It is not a de Polignac number, because 10103132313 - 22 = 10103132309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10103132353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5556370 + ... + 5558187.

It is an arithmetic number, because the mean of its divisors is an integer number (1228158659).

Almost surely, 210103132313 is an apocalyptic number.

It is an amenable number.

10103132313 is a deficient number, since it is larger than the sum of its proper divisors (4634771595).

10103132313 is a wasteful number, since it uses less digits than its factorization.

10103132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114664 (or 11114661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10103132313 its reverse (31323130101), we get a palindrome (41426262414).

The spelling of 10103132313 in words is "ten billion, one hundred three million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 101 303 909 11114557 33343671 100031013 1122570257 3367710771 10103132313