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1230115412520 = 23325101281120397
BaseRepresentation
bin10001111001101000100…
…101111001101000101000
311100121010212011120120100
4101321220211321220220
5130123234021200040
62341035054225400
7154605256325361
oct21715045715050
94317125146510
101230115412520
11434764099275
1217a4a31b5260
138bccb85b927
1443776016b68
1521ee8a10b30
hex11e68979a28

1230115412520 has 192 divisors, whose sum is σ = 4051859844240. Its totient is φ = 323624448000.

The previous prime is 1230115412507. The next prime is 1230115412551. The reversal of 1230115412520 is 252145110321.

It is a happy number.

1230115412520 is a `hidden beast` number, since 1 + 23 + 0 + 115 + 4 + 1 + 2 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1125640365444 + 104475047076 = 1060962^2 + 323226^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10156962 + ... + 10277358.

Almost surely, 21230115412520 is an apocalyptic number.

1230115412520 is a gapful number since it is divisible by the number (10) 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 1230115412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025929922120).

1230115412520 is an abundant number, since it is smaller than the sum of its proper divisors (2821744431720).

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

1230115412520 is a wasteful number, since it uses less digits than its factorization.

1230115412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120796 (or 120789 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1230115412520 in words is "one trillion, two hundred thirty billion, one hundred fifteen million, four hundred twelve thousand, five hundred twenty".