Search a number
-
+
10131030133131 = 329207115623311
BaseRepresentation
bin1001001101101101000001…
…1100111100100110001011
31022212111221220112200110010
42103123100130330212023
52311441322203230011
633314044143323003
72063641241164245
oct223332034744613
938774856480403
1010131030133131
113256600438446
1211775655b0463
1358647658a98b
142704b734b095
151287e843b1a6
hex936d073c98b

10131030133131 has 8 divisors (see below), whose sum is σ = 13508502787584. Its totient is φ = 6753788783720.

The previous prime is 10131030133127. The next prime is 10131030133151. The reversal of 10131030133131 is 13133103013101.

10131030133131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10131030133131 - 22 = 10131030133127 is a prime.

It is a super-2 number, since 2×101310301331312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131030133098 and 10131030133107.

It is not an unprimeable number, because it can be changed into a prime (10131030133151) 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, 57724035 + ... + 57899276.

It is an arithmetic number, because the mean of its divisors is an integer number (1688562848448).

Almost surely, 210131030133131 is an apocalyptic number.

10131030133131 is a deficient number, since it is larger than the sum of its proper divisors (3377472654453).

10131030133131 is a wasteful number, since it uses less digits than its factorization.

10131030133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115652521.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 10131030133131 its reverse (13133103013101), we get a palindrome (23264133146232).

The spelling of 10131030133131 in words is "ten trillion, one hundred thirty-one billion, thirty million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 29207 87621 115623311 346869933 3377010044377 10131030133131