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330320010122328 = 2332329375310522531
BaseRepresentation
bin100101100011011001001111…
…0110111011001010001011000
31121022120021200110010220120010
41023012302132313121101120
5321243430340042403303
63130310530123001520
7126401555532265002
oct11306623667312130
91538507613126503
10330320010122328
1196282a2531a956
123106a2930692a0
1311241074182a25
145b7d8066c3372
15282c5ac8b1c03
hex12c6c9edd9458

330320010122328 has 256 divisors, whose sum is σ = 932784580684800. Its totient is φ = 97072612116480.

The previous prime is 330320010122279. The next prime is 330320010122329. The reversal of 330320010122328 is 823221010023033.

It is a super-2 number, since 2×3303200101223282 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330320010122295 and 330320010122304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330320010122329) 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, 26130423 + ... + 36652953.

It is an arithmetic number, because the mean of its divisors is an integer number (3643689768300).

Almost surely, 2330320010122328 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 330320010122328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466392290342400).

330320010122328 is an abundant number, since it is smaller than the sum of its proper divisors (602464570562472).

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

330320010122328 is a wasteful number, since it uses less digits than its factorization.

330320010122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522682 (or 10522678 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 330320010122328 in words is "three hundred thirty trillion, three hundred twenty billion, ten million, one hundred twenty-two thousand, three hundred twenty-eight".