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332122131000000 = 263256112304979
BaseRepresentation
bin100101110000100000011010…
…1101000111110101011000000
31121112221120021100111211020200
41023201000311220332223000
5322012442111014000000
63134210444535405200
7126646014006065625
oct11341006550765300
91545846240454220
10332122131000000
11969082285a8300
12312bb5b1823800
1311341ca0915823
145c02b22a1434c
15285e3d3708500
hex12e1035a3eac0

332122131000000 has 882 divisors, whose sum is σ = 1307960276253540. Its totient is φ = 80514192000000.

The previous prime is 332122130999987. The next prime is 332122131000053. The reversal of 332122131000000 is 131221233.

332122131000000 is a `hidden beast` number, since 332 + 1 + 2 + 21 + 310 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3321221310000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1088847511 + ... + 1089152489.

Almost surely, 2332122131000000 is an apocalyptic number.

332122131000000 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 332122131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653980138126770).

332122131000000 is an abundant number, since it is smaller than the sum of its proper divisors (975838145253540).

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

332122131000000 is an equidigital number, since it uses as much as digits as its factorization.

332122131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305049 (or 305000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332122131000000 its reverse (131221233), we get a palindrome (332122262221233).

The spelling of 332122131000000 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirty-one million", and thus it is an aban number.