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332023113031000 = 235331809100913121
BaseRepresentation
bin100101101111110010010011…
…1101101011001110101011000
31121112121002200121201211021111
41023133210213231121311120
5322004331313413443000
63134053151252550104
7126635610155201356
oct11337444755316530
91545532617654244
10332023113031000
119687a236532676
12312a4378922334
13113358506c1421
145bdc00c1847d6
15285ba3a800cba
hex12df927b59d58

332023113031000 has 256 divisors, whose sum is σ = 803844902016000. Its totient is φ = 128229212160000.

The previous prime is 332023113030929. The next prime is 332023113031009. The reversal of 332023113031000 is 130311320233.

It is a super-2 number, since 2×3320231130310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023113031009) 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, 25304704440 + ... + 25304717560.

It is an arithmetic number, because the mean of its divisors is an integer number (3140019148500).

Almost surely, 2332023113031000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332023113031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401922451008000).

332023113031000 is an abundant number, since it is smaller than the sum of its proper divisors (471821788985000).

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

332023113031000 is a wasteful number, since it uses less digits than its factorization.

332023113031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14991 (or 14977 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 332023113031000 its reverse (130311320233), we get a palindrome (332153424351233).

The spelling of 332023113031000 in words is "three hundred thirty-two trillion, twenty-three billion, one hundred thirteen million, thirty-one thousand".