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132033020345325 = 32521124849697717
BaseRepresentation
bin11110000001010101010101…
…010001101011101111101101
3122022111020022012110110222200
4132001111111101223233231
5114301212111202022300
61144451044315332113
736545033220416061
oct3601252521535755
9568436265413880
10132033020345325
1139084986989200
1212984a73451039
135889877b6a518
14248660a277aa1
15103e736412200
hex78155546bbed

132033020345325 has 54 divisors (see below), whose sum is σ = 259938947987082. Its totient is φ = 64016009851200.

The previous prime is 132033020345249. The next prime is 132033020345351. The reversal of 132033020345325 is 523543020330231.

132033020345325 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 302 + 0 + 345 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 443168472681 + 131589851872644 = 665709^2 + 11471262^2 .

It is not a de Polignac number, because 132033020345325 - 234 = 132015840476141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132033020345325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2424821634 + ... + 2424876083.

It is an arithmetic number, because the mean of its divisors is an integer number (4813684221983).

Almost surely, 2132033020345325 is an apocalyptic number.

132033020345325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132033020345325 is a deficient number, since it is larger than the sum of its proper divisors (127905927641757).

132033020345325 is a wasteful number, since it uses less digits than its factorization.

132033020345325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849697755 (or 4849697736 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 132033020345325 its reverse (523543020330231), we get a palindrome (655576040675556).

The spelling of 132033020345325 in words is "one hundred thirty-two trillion, thirty-three billion, twenty million, three hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 4849697717 14549093151 24248488585 43647279453 53346674887 72745465755 121242442925 160040024661 218236397265 266733374435 363727328775 480120073983 586813423757 800200123305 1091181986325 1333666872175 1760440271271 2400600369915 2934067118785 4001000616525 5281320813813 8802201356355 12003001849575 14670335593925 26406604069065 44011006781775 132033020345325