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132212032001333 = 9757491261318797
BaseRepresentation
bin11110000011111100000011…
…001100111101010100110101
3122100010100100211110211011022
4132003330003030331110311
5114312130220143020313
61145105211412350525
736564001255402604
oct3603740314752465
9570110324424138
10132212032001333
1139143898338969
12129b36b2015445
1358a0705ac612b
14249114cabba3b
151044211e8cc08
hex783f0333d535

132212032001333 has 16 divisors (see below), whose sum is σ = 133615977222000. Its totient is φ = 130808929314816.

The previous prime is 132212032001299. The next prime is 132212032001351. The reversal of 132212032001333 is 333100230212231.

It can be written as a sum of positive squares in 8 ways, for example, as 5876275354609 + 126335756646724 = 2424103^2 + 11239918^2 .

It is a cyclic number.

It is not a de Polignac number, because 132212032001333 - 218 = 132212031739189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212032001353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7033667891 + ... + 7033686687.

It is an arithmetic number, because the mean of its divisors is an integer number (8350998576375).

Almost surely, 2132212032001333 is an apocalyptic number.

It is an amenable number.

132212032001333 is a deficient number, since it is larger than the sum of its proper divisors (1403945220667).

132212032001333 is a wasteful number, since it uses less digits than its factorization.

132212032001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37256.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 132212032001333 its reverse (333100230212231), we get a palindrome (465312262213564).

The spelling of 132212032001333 in words is "one hundred thirty-two trillion, two hundred twelve billion, thirty-two million, one thousand, three hundred thirty-three".

Divisors: 1 97 5749 12613 18797 557653 1223461 1823309 72512137 108063953 237086561 7033677289 10482203441 22997396417 1363010639189 132212032001333