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131020402240 = 265731391823
BaseRepresentation
bin111101000000101101…
…1001010111001000000
3110112012001000001100101
41322001123022321000
54121312210332430
6140105005532144
712315544021000
oct1720133127100
9415161001311
10131020402240
1150624668472
1221486574054
13c480406240
1464acc08000
15361c724dca
hex1e816cae40

131020402240 has 224 divisors, whose sum is σ = 391831372800. Its totient is φ = 41465346048.

The previous prime is 131020402231. The next prime is 131020402241. The reversal of 131020402240 is 42204020131.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (131020402241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380969 + ... + 1472791.

It is an arithmetic number, because the mean of its divisors is an integer number (1749247200).

Almost surely, 2131020402240 is an apocalyptic number.

131020402240 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 131020402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195915686400).

131020402240 is an abundant number, since it is smaller than the sum of its proper divisors (260810970560).

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

131020402240 is an equidigital number, since it uses as much as digits as its factorization.

131020402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91874 (or 91850 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 131020402240 its reverse (42204020131), we get a palindrome (173224422371).

The spelling of 131020402240 in words is "one hundred thirty-one billion, twenty million, four hundred two thousand, two hundred forty".