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132300431012025 = 32521734588347977
BaseRepresentation
bin11110000101001110011000…
…001100011011000010111001
3122100102210112111210211211100
4132011032120030123002321
5114320102240314341100
61145213551242122013
736603251004526053
oct3605163014330271
9570383474724740
10132300431012025
1139178330271aa1
1212a088627b0309
1358a8b53027253
1424955371088d3
1510466879c2400
hex78539831b0b9

132300431012025 has 36 divisors (see below), whose sum is σ = 250903876232412. Its totient is φ = 66409628113920.

The previous prime is 132300431012017. The next prime is 132300431012083. The reversal of 132300431012025 is 520210134003231.

132300431012025 is a `hidden beast` number, since 1 + 3 + 2 + 300 + 4 + 310 + 1 + 20 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11386919551401 + 120913511460624 = 3374451^2 + 10996068^2 .

It is not a de Polignac number, because 132300431012025 - 23 = 132300431012017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132300431012025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17294170164 + ... + 17294177813.

It is an arithmetic number, because the mean of its divisors is an integer number (6969552117567).

Almost surely, 2132300431012025 is an apocalyptic number.

132300431012025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132300431012025 is a deficient number, since it is larger than the sum of its proper divisors (118603445220387).

132300431012025 is a wasteful number, since it uses less digits than its factorization.

132300431012025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34588348010 (or 34588348002 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132300431012025 its reverse (520210134003231), we get a palindrome (652510565015256).

The spelling of 132300431012025 in words is "one hundred thirty-two trillion, three hundred billion, four hundred thirty-one million, twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 34588347977 103765043931 172941739885 311295131793 518825219655 588001915609 864708699425 1556475658965 1764005746827 2594126098275 2940009578045 5292017240481 7782378294825 8820028734135 14700047890225 26460086202405 44100143670675 132300431012025