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131042224500 = 22353118099817
BaseRepresentation
bin111101000001010111…
…0011010100101110100
3110112020120001201212020
41322002232122211310
54121333302141000
6140111105353140
712316230346515
oct1720256324564
9415216051766
10131042224500
1150635a128a0
12214919387b0
13c484aa6c15
1464b1a88a0c
15361e5d5ba0
hex1e82b9a974

131042224500 has 192 divisors, whose sum is σ = 416842433280. Its totient is φ = 31725312000.

The previous prime is 131042224471. The next prime is 131042224501. The reversal of 131042224500 is 5422240131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042224501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13343592 + ... + 13353408.

It is an arithmetic number, because the mean of its divisors is an integer number (2171054340).

Almost surely, 2131042224500 is an apocalyptic number.

131042224500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131042224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208421216640).

131042224500 is an abundant number, since it is smaller than the sum of its proper divisors (285800208780).

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

131042224500 is a wasteful number, since it uses less digits than its factorization.

131042224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 131042224500 its reverse (5422240131), we get a palindrome (136464464631).

The spelling of 131042224500 in words is "one hundred thirty-one billion, forty-two million, two hundred twenty-four thousand, five hundred".