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131232322320 = 243511315992677
BaseRepresentation
bin111101000111000001…
…1100101001100010000
3110112201210202201001020
41322032003211030100
54122230433303240
6140142020035440
712324026222541
oct1721603451420
9415653681036
10131232322320
1150723252130
1221525532b80
13c4b52a5038
1464cd0104c8
1536311360d0
hex1e8e0e5310

131232322320 has 320 divisors, whose sum is σ = 459056332800. Its totient is φ = 30724761600.

The previous prime is 131232322313. The next prime is 131232322321. The reversal of 131232322320 is 23223232131.

It is a super-3 number, since 3×1312323223203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131232322321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49020822 + ... + 49023498.

It is an arithmetic number, because the mean of its divisors is an integer number (1434551040).

Almost surely, 2131232322320 is an apocalyptic number.

131232322320 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 131232322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229528166400).

131232322320 is an abundant number, since it is smaller than the sum of its proper divisors (327824010480).

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

131232322320 is a wasteful number, since it uses less digits than its factorization.

131232322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

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

Adding to 131232322320 its reverse (23223232131), we get a palindrome (154455554451).

The spelling of 131232322320 in words is "one hundred thirty-one billion, two hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty".