Search a number
-
+
10137128953 = 71448161279
BaseRepresentation
bin10010111000011100…
…00100111111111001
3222011110210111200111
421130032010333321
5131230101111303
64353521504321
7506131113550
oct113416047771
928143714614
1010137128953
114332166026
121b6aaa20a1
13c57230a73
146c245ad97
153e4e48b6d
hex25c384ff9

10137128953 has 4 divisors (see below), whose sum is σ = 11585290240. Its totient is φ = 8688967668.

The previous prime is 10137128941. The next prime is 10137128971. The reversal of 10137128953 is 35982173101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10137128953 - 25 = 10137128921 is a prime.

It is a super-2 number, since 2×101371289532 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10137128993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 724080633 + ... + 724080646.

It is an arithmetic number, because the mean of its divisors is an integer number (2896322560).

Almost surely, 210137128953 is an apocalyptic number.

It is an amenable number.

10137128953 is a deficient number, since it is larger than the sum of its proper divisors (1448161287).

10137128953 is an equidigital number, since it uses as much as digits as its factorization.

10137128953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448161286.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 10137128953 in words is "ten billion, one hundred thirty-seven million, one hundred twenty-eight thousand, nine hundred fifty-three".

Divisors: 1 7 1448161279 10137128953