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132033512103025 = 52132173180638933
BaseRepresentation
bin11110000001010101110010…
…100101100101110001110001
3122022111021120110210100201211
4132001111302211211301301
5114301214113044244100
61144451205203400121
736545051341324021
oct3601256245456161
9568437513710654
10132033512103025
1139085109526025
1212984b90083041
1358899259c7b00
1424866556c5a81
15103e76469d1ba
hex781572965c71

132033512103025 has 36 divisors (see below), whose sum is σ = 178309053029268. Its totient is φ = 96938076468480.

The previous prime is 132033512103019. The next prime is 132033512103113. The reversal of 132033512103025 is 520301215330231.

It can be written as a sum of positive squares in 18 ways, for example, as 126881683487329 + 5151828615696 = 11264177^2 + 2269764^2 .

It is a de Polignac number, because none of the positive numbers 2k-132033512103025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89588542 + ... + 91050391.

It is an arithmetic number, because the mean of its divisors is an integer number (4953029250813).

Almost surely, 2132033512103025 is an apocalyptic number.

It is an amenable number.

132033512103025 is a deficient number, since it is larger than the sum of its proper divisors (46275540926243).

132033512103025 is a wasteful number, since it uses less digits than its factorization.

132033512103025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180639142 (or 180639124 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 132033512103025 its reverse (520301215330231), we get a palindrome (652334727433256).

The spelling of 132033512103025 in words is "one hundred thirty-two trillion, thirty-three billion, five hundred twelve million, one hundred three thousand, twenty-five".

Divisors: 1 5 13 25 65 169 173 325 845 865 2249 4225 4325 11245 29237 56225 146185 730925 180638933 903194665 2348306129 4515973325 11741530645 30527979677 31250535409 58707653225 152639898385 156252677045 406256960317 763199491925 781263385225 2031284801585 5281340484121 10156424007925 26406702420605 132033512103025