Search a number
-
+
10344931137 = 321768299901
BaseRepresentation
bin10011010001001101…
…10001111101000001
3222200221210221200200
421220212301331001
5132141300244022
64430303435413
7514233315042
oct115046617501
928627727620
1010344931137
114429497972
1220085b5b69
13c8b2ba438
14701cb08c9
154082e4bac
hex2689b1f41

10344931137 has 24 divisors (see below), whose sum is σ = 15825574440. Its totient is φ = 6489331200.

The previous prime is 10344931111. The next prime is 10344931151. The reversal of 10344931137 is 73113944301.

It is a happy number.

10344931137 is a `hidden beast` number, since 1 + 0 + 34 + 493 + 1 + 137 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5876142336 + 4468788801 = 76656^2 + 66849^2 .

It is not a de Polignac number, because 10344931137 - 26 = 10344931073 is a prime.

It is a super-2 number, since 2×103449311372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10344931187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039887 + ... + 1049787.

It is an arithmetic number, because the mean of its divisors is an integer number (659398935).

Almost surely, 210344931137 is an apocalyptic number.

10344931137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10344931137 is a deficient number, since it is larger than the sum of its proper divisors (5480643303).

10344931137 is a wasteful number, since it uses less digits than its factorization.

10344931137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16753 (or 16750 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10344931137 in words is "ten billion, three hundred forty-four million, nine hundred thirty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 51 153 6829 9901 20487 29703 61461 89109 116093 168317 348279 504951 1044837 1514853 67613929 202841787 608525361 1149436793 3448310379 10344931137