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332131013301330 = 233517835571565177
BaseRepresentation
bin100101110000100100100011…
…1000100010001010001010010
31121112222102012101010111001000
41023201021013010101101102
5322013113303401120310
63134214514154122430
7126646450062312105
oct11341110704212122
91545872171114030
10332131013301330
1196910a76409801
1231301270420416
1311342a87b96529
145c0332654c73c
15285e7533d64c0
hex12e1247111452

332131013301330 has 256 divisors, whose sum is σ = 950784780879360. Its totient is φ = 82206148829184.

The previous prime is 332131013301223. The next prime is 332131013301361. The reversal of 332131013301330 is 33103310131233.

332131013301330 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 3 + 10 + 13 + 301 + 330 = 666.

It is a super-2 number, since 2×3321310133013302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 332131013301294 and 332131013301303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211417702 + ... + 212982878.

It is an arithmetic number, because the mean of its divisors is an integer number (3714003050310).

Almost surely, 2332131013301330 is an apocalyptic number.

332131013301330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332131013301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475392390439680).

332131013301330 is an abundant number, since it is smaller than the sum of its proper divisors (618653767578030).

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

332131013301330 is a wasteful number, since it uses less digits than its factorization.

332131013301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565850 (or 1565844 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 332131013301330 its reverse (33103310131233), we get a palindrome (365234323432563).

The spelling of 332131013301330 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, thirteen million, three hundred one thousand, three hundred thirty".