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131023231132200 = 2335211411933250489
BaseRepresentation
bin11101110010101000111001…
…001001100010001000101000
3122011220200212020220111121120
4131302220321021202020220
5114133141034132212300
61142355124052135240
736412054544630061
oct3562507111421050
9564820766814546
10131023231132200
1138825705229630
121284121b007520
13581558c7775a4
14244d7b5a9b568
1510233355783a0
hex772a39262228

131023231132200 has 384 divisors, whose sum is σ = 454140614390400. Its totient is φ = 30972340224000.

The previous prime is 131023231132177. The next prime is 131023231132249. The reversal of 131023231132200 is 2231132320131.

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

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, 522944556 + ... + 523195044.

It is an arithmetic number, because the mean of its divisors is an integer number (1182657849975).

Almost surely, 2131023231132200 is an apocalyptic number.

131023231132200 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 131023231132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227070307195200).

131023231132200 is an abundant number, since it is smaller than the sum of its proper divisors (323117383258200).

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

131023231132200 is a wasteful number, since it uses less digits than its factorization.

131023231132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252493 (or 252484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131023231132200 its reverse (2231132320131), we get a palindrome (133254363452331).

The spelling of 131023231132200 in words is "one hundred thirty-one trillion, twenty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, two hundred".