Search a number
-
+
131013000001 = 1330754760013
BaseRepresentation
bin111101000000011111…
…0111011101101000001
3110112011112001222101101
41322000332323231001
54121303312000001
6140104143134401
712315424061062
oct1720076735501
9415145058341
10131013000001
1150620472014
1221483ba4401
13c47ba13c10
1464abc3c569
15361bc61a01
hex1e80fbbb41

131013000001 has 16 divisors (see below), whose sum is σ = 141811641664. Its totient is φ = 120318778944.

The previous prime is 131012999983. The next prime is 131013000011. The reversal of 131013000001 is 100000310131.

It is not a de Polignac number, because 131013000001 - 29 = 131012999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131013000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2153071 + ... + 2213083.

It is an arithmetic number, because the mean of its divisors is an integer number (8863227604).

Almost surely, 2131013000001 is an apocalyptic number.

It is an amenable number.

131013000001 is a deficient number, since it is larger than the sum of its proper divisors (10798641663).

131013000001 is a wasteful number, since it uses less digits than its factorization.

131013000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60880.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 131013000001 its reverse (100000310131), we get a palindrome (231013310132).

The spelling of 131013000001 in words is "one hundred thirty-one billion, thirteen million, one", and thus it is an aban number.

Divisors: 1 13 307 547 3991 7111 60013 167929 780169 2183077 18423991 32827111 239511883 426752443 10077923077 131013000001