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332102330020320 = 25357198312497937
BaseRepresentation
bin100101110000010111001100…
…1011010001111000111100000
31121112212200011101110211112220
41023200232121122033013200
5322012131032441122240
63134153412035551040
7126644413221406116
oct11340563132170740
91545780141424486
10332102330020320
11968aa897452192
12312b77a645b480
13113401665412c2
145c01ba4d37ab6
15285db251a15d0
hex12e0b9968f1e0

332102330020320 has 384 divisors, whose sum is σ = 1062919791360000. Its totient is φ = 87143649116160.

The previous prime is 332102330020217. The next prime is 332102330020397. The reversal of 332102330020320 is 23020033201233.

It is a super-2 number, since 2×3321023300203202 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41842295392 + ... + 41842303328.

It is an arithmetic number, because the mean of its divisors is an integer number (2768020290000).

Almost surely, 2332102330020320 is an apocalyptic number.

332102330020320 is a gapful number since it is divisible by the number (30) 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 332102330020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531459895680000).

332102330020320 is an abundant number, since it is smaller than the sum of its proper divisors (730817461339680).

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

332102330020320 is a wasteful number, since it uses less digits than its factorization.

332102330020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10258 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332102330020320 its reverse (23020033201233), we get a palindrome (355122363221553).

The spelling of 332102330020320 in words is "three hundred thirty-two trillion, one hundred two billion, three hundred thirty million, twenty thousand, three hundred twenty".