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132299512900 = 2252363732
BaseRepresentation
bin111101100110110101…
…0100101110001000100
3110122111011212121022021
41323031222211301010
54131422133403100
6140435541412524
712362335206412
oct1731552456104
9418434777267
10132299512900
1151120698215
1221782a0a144
13c625409059
146590a4c2b2
153694b8aa1a
hex1ecdaa5c44

132299512900 has 27 divisors (see below), whose sum is σ = 287097836151. Its totient is φ = 52918350240.

The previous prime is 132299512847. The next prime is 132299512963. The reversal of 132299512900 is 9215992231.

It is a happy number.

The square root of 132299512900 is 363730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 175986756 + 132123526144 = 13266^2 + 363488^2 .

It is a super-2 number, since 2×1322995129002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3619114 + ... + 3655486.

Almost surely, 2132299512900 is an apocalyptic number.

132299512900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132299512900 is the 363730-th square number.

It is an amenable number.

132299512900 is an abundant number, since it is smaller than the sum of its proper divisors (154798323251).

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

132299512900 is an frugal number, since it uses more digits than its factorization.

132299512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72760 (or 36380 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 132299512900 in words is "one hundred thirty-two billion, two hundred ninety-nine million, five hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 36373 72746 145492 181865 363730 727460 909325 1818650 3637300 1322995129 2645990258 5291980516 6614975645 13229951290 26459902580 33074878225 66149756450 132299512900