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105433133312 = 281331680629
BaseRepresentation
bin110001000110001001…
…1011111000100000000
3101002010211001010000102
41202030103133010000
53211411340231222
6120234005541532
710421505563213
oct1421423370400
9332124033012
10105433133312
1140794289621
12185254148a8
139c33310b20
14516286d77a
152b211ebd92
hex188c4df100

105433133312 has 36 divisors (see below), whose sum is σ = 226643227020. Its totient is φ = 48661444608.

The previous prime is 105433133293. The next prime is 105433133329. The reversal of 105433133312 is 213331334501.

It can be written as a sum of positive squares in 2 ways, for example, as 68593705216 + 36839428096 = 261904^2 + 191936^2 .

It is a super-2 number, since 2×1054331333122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15836987 + ... + 15843642.

It is an arithmetic number, because the mean of its divisors is an integer number (6295645195).

Almost surely, 2105433133312 is an apocalyptic number.

It is an amenable number.

105433133312 is an abundant number, since it is smaller than the sum of its proper divisors (121210093708).

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

105433133312 is an equidigital number, since it uses as much as digits as its factorization.

105433133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680658 (or 31680644 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 105433133312 its reverse (213331334501), we get a palindrome (318764467813).

The spelling of 105433133312 in words is "one hundred five billion, four hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 31680629 63361258 126722516 253445032 411848177 506890064 823696354 1013780128 1647392708 2027560256 3294785416 4055120512 6589570832 8110241024 13179141664 26358283328 52716566656 105433133312