Search a number
-
+
10131540053 = 41308979997
BaseRepresentation
bin10010110111110001…
…10000100001010101
3222011002021120011012
421123320300201111
5131222133240203
64353202022005
7506032445435
oct113370604125
928132246135
1010131540053
114329a98aa8
121b69047905
13c56024c1b
146c18042c5
153e46e2bd8
hex25be30855

10131540053 has 8 divisors (see below), whose sum is σ = 10382140440. Its totient is φ = 9881105920.

The previous prime is 10131540019. The next prime is 10131540061. The reversal of 10131540053 is 35004513101.

10131540053 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 155925169 + 9975614884 = 12487^2 + 99878^2 .

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 10131540053 - 28 = 10131539797 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 (10131540553) 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, 86651 + ... + 166647.

It is an arithmetic number, because the mean of its divisors is an integer number (1297767555).

Almost surely, 210131540053 is an apocalyptic number.

It is an amenable number.

10131540053 is a deficient number, since it is larger than the sum of its proper divisors (250600387).

10131540053 is an equidigital number, since it uses as much as digits as its factorization.

10131540053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83127.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10131540053 in words is "ten billion, one hundred thirty-one million, five hundred forty thousand, fifty-three".

Divisors: 1 41 3089 79997 126649 3279877 247110733 10131540053