Search a number
-
+
131140112020 = 22514944006749
BaseRepresentation
bin111101000100010001…
…1110100111010010100
3110112111101020221021221
41322020203310322110
54122033332041040
6140124523420124
712321526363051
oct1721043647224
9415441227257
10131140112020
11506861a1175
12214ba684644
13c49c15b028
1464c0a8a028
153627ebe74a
hex1e888f4e94

131140112020 has 24 divisors (see below), whose sum is σ = 277242525000. Its totient is φ = 52103989632.

The previous prime is 131140112011. The next prime is 131140112027. The reversal of 131140112020 is 20211041131.

It can be written as a sum of positive squares in 4 ways, for example, as 58461316 + 131081650704 = 7646^2 + 362052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131140111985 and 131140112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131140112027) 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, 22000395 + ... + 22006354.

It is an arithmetic number, because the mean of its divisors is an integer number (11551771875).

Almost surely, 2131140112020 is an apocalyptic number.

131140112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131140112020 is an abundant number, since it is smaller than the sum of its proper divisors (146102412980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131140112020 is a wasteful number, since it uses less digits than its factorization.

131140112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44006907 (or 44006905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131140112020 its reverse (20211041131), we get a palindrome (151351153151).

The spelling of 131140112020 in words is "one hundred thirty-one billion, one hundred forty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 44006749 88013498 176026996 220033745 440067490 880134980 6557005601 13114011202 26228022404 32785028005 65570056010 131140112020