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130332121300332 = 22347436719946429
BaseRepresentation
bin11101101000100101001111…
…110010101111110101101100
3122002110121222121211102220000
4131220211033302233311230
5114040330141023102312
61141105425554024300
736311120315163060
oct3550451762576554
9562417877742800
10130332121300332
11385895a67a4926
121274b2a3878090
1357953600b3c83
14242817337baa0
151010386c04adc
hex76894fcafd6c

130332121300332 has 240 divisors, whose sum is σ = 404389772962560. Its totient is φ = 35828890973568.

The previous prime is 130332121300231. The next prime is 130332121300349. The reversal of 130332121300332 is 233003121233031.

130332121300332 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 2 + 1 + 21 + 300 + 332 = 666.

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 = 130332121300296 and 130332121300305.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3439107 + ... + 16507322.

It is an arithmetic number, because the mean of its divisors is an integer number (1684957387344).

Almost surely, 2130332121300332 is an apocalyptic number.

130332121300332 is a gapful number since it is divisible by the number (12) 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 130332121300332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202194886481280).

130332121300332 is an abundant number, since it is smaller than the sum of its proper divisors (274057651662228).

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

130332121300332 is a wasteful number, since it uses less digits than its factorization.

130332121300332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19946562 (or 19946551 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130332121300332 its reverse (233003121233031), we get a palindrome (363335242533363).

The spelling of 130332121300332 in words is "one hundred thirty trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred thousand, three hundred thirty-two".