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132201133213321 = 17322921531549921
BaseRepresentation
bin11110000011110001111001…
…100101011000011010001001
3122100002022020021111000200001
4132003301321211120122021
5114311440410100311241
61145100210121443001
736563134215260464
oct3603617145303211
9570068207430601
10132201133213321
113913a20524a147
12129b1570040461
13589c689b47b43
1424907d74362db
151043cc5242431
hex783c79958689

132201133213321 has 16 divisors (see below), whose sum is σ = 133608050159760. Its totient is φ = 130802138173440.

The previous prime is 132201133213309. The next prime is 132201133213351. The reversal of 132201133213321 is 123312331102231.

It can be written as a sum of positive squares in 8 ways, for example, as 35941703619600 + 96259429593721 = 5995140^2 + 9811189^2 .

It is a cyclic number.

It is not a de Polignac number, because 132201133213321 - 213 = 132201133205129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132201133213321.

It is not an unprimeable number, because it can be changed into a prime (132201133213351) 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 15 ways as a sum of consecutive naturals, for example, 84520441 + ... + 86070361.

It is an arithmetic number, because the mean of its divisors is an integer number (8350503134985).

Almost surely, 2132201133213321 is an apocalyptic number.

It is an amenable number.

132201133213321 is a deficient number, since it is larger than the sum of its proper divisors (1406916946439).

132201133213321 is a wasteful number, since it uses less digits than its factorization.

132201133213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552476.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 132201133213321 its reverse (123312331102231), we get a palindrome (255513464315552).

The spelling of 132201133213321 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 173 229 2153 39617 372469 493037 1549921 85295401 268136333 354931909 3336979913 61403220257 577297524949 764168400077 132201133213321