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115212096132 = 22373373132417
BaseRepresentation
bin110101101001100101…
…1010001001010000100
3102000101022212220010120
41223103023101022010
53341423244034012
6124532215021540
711216030442000
oct1532313211204
9360338786116
10115212096132
1144952252081
121a3b436a8b0
13ab31289763
14580d4d5700
152ee499758c
hex1ad32d1284

115212096132 has 192 divisors, whose sum is σ = 323137651200. Its totient is φ = 31912538112.

The previous prime is 115212096113. The next prime is 115212096137. The reversal of 115212096132 is 231690212511.

It is a happy number.

It is a super-3 number, since 3×1152120961323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 115212096093 and 115212096102.

It is not an unprimeable number, because it can be changed into a prime (115212096137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47666188 + ... + 47668604.

It is an arithmetic number, because the mean of its divisors is an integer number (1683008600).

Almost surely, 2115212096132 is an apocalyptic number.

115212096132 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 115212096132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568825600).

115212096132 is an abundant number, since it is smaller than the sum of its proper divisors (207925555068).

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

115212096132 is a wasteful number, since it uses less digits than its factorization.

115212096132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 115212096132 in words is "one hundred fifteen billion, two hundred twelve million, ninety-six thousand, one hundred thirty-two".