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132122534141313 = 33173273291035007
BaseRepresentation
bin11110000010101000101100…
…101101101101110110000001
3122022210210100120110110121000
4132002220230231231312001
5114304143422220010223
61145000130530522213
736554352364215162
oct3602505455556601
9568723316413530
10132122534141313
1139109941105aa1
121299a295436369
135895142028001
14248aa9c771769
151041c24c4d543
hex782a2cb6dd81

132122534141313 has 32 divisors (see below), whose sum is σ = 196875909734400. Its totient is φ = 87569257724928.

The previous prime is 132122534141309. The next prime is 132122534141359. The reversal of 132122534141313 is 313141435221231.

132122534141313 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 225 + 3 + 4 + 1 + 413 + 13 = 666.

It is not a de Polignac number, because 132122534141313 - 22 = 132122534141309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132122534141363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127136256 + ... + 128171262.

It is an arithmetic number, because the mean of its divisors is an integer number (6152372179200).

Almost surely, 2132122534141313 is an apocalyptic number.

It is an amenable number.

132122534141313 is a deficient number, since it is larger than the sum of its proper divisors (64753375593087).

132122534141313 is a wasteful number, since it uses less digits than its factorization.

132122534141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062518 (or 1062512 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 132122534141313 its reverse (313141435221231), we get a palindrome (445263969362544).

The spelling of 132122534141313 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, five hundred thirty-four million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 173 519 1557 4671 27329 81987 245961 737883 1035007 3105021 4727917 9315063 14183751 27945189 42551253 127653759 179056211 537168633 1611505899 4834517697 28285706303 84857118909 254571356727 763714070181 4893427190419 14680281571257 44040844713771 132122534141313