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232112022130320 = 243529659351714389
BaseRepresentation
bin110100110001101011001010…
…101000001000111010010000
31010102211200200220120111201020
4310301223022220020322100
5220410410410131132240
62141354442500435440
766614353200635163
oct6461531250107220
91112750626514636
10232112022130320
1167a5a179387782
1222048a466a8b80
139c690ba3846b7
1441463d341dada
151bc7b767230d0
hexd31acaa08e90

232112022130320 has 320 divisors, whose sum is σ = 745752563424000. Its totient is φ = 59650377228288.

The previous prime is 232112022130297. The next prime is 232112022130343. The reversal of 232112022130320 is 23031220211232.

It is an interprime number because it is at equal distance from previous prime (232112022130297) and next prime (232112022130343).

It is a super-2 number, since 2×2321120221303202 (a number of 30 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 16131205686 + ... + 16131220074.

It is an arithmetic number, because the mean of its divisors is an integer number (2330476760700).

Almost surely, 2232112022130320 is an apocalyptic number.

232112022130320 is a gapful number since it is divisible by the number (20) 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 232112022130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372876281712000).

232112022130320 is an abundant number, since it is smaller than the sum of its proper divisors (513640541293680).

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

232112022130320 is a wasteful number, since it uses less digits than its factorization.

232112022130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18610 (or 18604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232112022130320 its reverse (23031220211232), we get a palindrome (255143242341552).

The spelling of 232112022130320 in words is "two hundred thirty-two trillion, one hundred twelve billion, twenty-two million, one hundred thirty thousand, three hundred twenty".