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131022233430 = 23511412251941
BaseRepresentation
bin111101000000110001…
…0001001111101010110
3110112012011110002021020
41322001202021331112
54121313142432210
6140105113102010
712315565415514
oct1720142117526
9415164402236
10131022233430
11506256a9250
12214870b7906
13c4808c789a
1464ad1634b4
15361c987770
hex1e81889f56

131022233430 has 192 divisors, whose sum is σ = 353386914048. Its totient is φ = 30832000000.

The previous prime is 131022233413. The next prime is 131022233467. The reversal of 131022233430 is 34332220131.

It is a self number, because there is not a number n which added to its sum of digits gives 131022233430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139236760 + ... + 139237700.

It is an arithmetic number, because the mean of its divisors is an integer number (1840556844).

Almost surely, 2131022233430 is an apocalyptic number.

131022233430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131022233430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176693457024).

131022233430 is an abundant number, since it is smaller than the sum of its proper divisors (222364680618).

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

131022233430 is a wasteful number, since it uses less digits than its factorization.

131022233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131022233430 its reverse (34332220131), we get a palindrome (165354453561).

The spelling of 131022233430 in words is "one hundred thirty-one billion, twenty-two million, two hundred thirty-three thousand, four hundred thirty".