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10144270013 = 531131693817
BaseRepresentation
bin10010111001010010…
…10100011010111101
3222011222020022101012
421130221110122331
5131233413120023
64354334525005
7506245605143
oct113451243275
928158208335
1010144270013
1143361a3229
121b71366765
13c58861247
146c3399593
153e58a9978
hex25ca546bd

10144270013 has 8 divisors (see below), whose sum is σ = 10427143608. Its totient is φ = 9864784384.

The previous prime is 10144270007. The next prime is 10144270033. The reversal of 10144270013 is 31007244101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 935564569 + 9208705444 = 30587^2 + 95962^2 .

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 10144270013 - 220 = 10143221437 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 (10144270033) 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, 840920 + ... + 852897.

It is an arithmetic number, because the mean of its divisors is an integer number (1303392951).

Almost surely, 210144270013 is an apocalyptic number.

It is an amenable number.

10144270013 is a deficient number, since it is larger than the sum of its proper divisors (282873595).

10144270013 is a wasteful number, since it uses less digits than its factorization.

10144270013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693983.

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 10144270013 in words is "ten billion, one hundred forty-four million, two hundred seventy thousand, thirteen".

Divisors: 1 53 113 5989 1693817 89772301 191401321 10144270013