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121313222132130 = 23357472453355667
BaseRepresentation
bin11011100101010101101111…
…100000110000000110100010
3120220112102122000220101122000
4123211111233200300012202
5111400043434331212010
61110002305212424430
734360406510136660
oct3345255740600642
9526472560811560
10121313222132130
113572171529aa26
1211733394778116
13528ca3192bb22
1421d583c687c30
15e0597e2597c0
hex6e556f8301a2

121313222132130 has 256 divisors, whose sum is σ = 377604968693760. Its totient is φ = 27137169656064.

The previous prime is 121313222132093. The next prime is 121313222132161. The reversal of 121313222132130 is 31231222313121.

121313222132130 is a `hidden beast` number, since 1 + 2 + 1 + 313 + 2 + 2 + 21 + 321 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121313222132094 and 121313222132103.

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, 2179238557 + ... + 2179294223.

It is an arithmetic number, because the mean of its divisors is an integer number (1475019408960).

Almost surely, 2121313222132130 is an apocalyptic number.

121313222132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121313222132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188802484346880).

121313222132130 is an abundant number, since it is smaller than the sum of its proper divisors (256291746561630).

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

121313222132130 is a wasteful number, since it uses less digits than its factorization.

121313222132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80270 (or 80264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121313222132130 its reverse (31231222313121), we get a palindrome (152544444445251).

The spelling of 121313222132130 in words is "one hundred twenty-one trillion, three hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty".