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12132132033213 = 322695011206953
BaseRepresentation
bin1011000010001011101101…
…1010111001001010111101
31120221211011010210212011100
42300202323122321022331
53042233101300030323
641445231410043313
72361342353531103
oct260427332711275
946854133725140
1012132132033213
113958232281055
12143b356579539
136a00941b981a
142dd2ac2b1c73
151608b8027943
hexb08bb6b92bd

12132132033213 has 12 divisors (see below), whose sum is σ = 17589336408540. Its totient is φ = 8058020778816.

The previous prime is 12132132033199. The next prime is 12132132033269. The reversal of 12132132033213 is 31233023123121.

12132132033213 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 1 + 320 + 332 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1541774189124 + 10590357844089 = 1241682^2 + 3254283^2 .

It is not a de Polignac number, because 12132132033213 - 229 = 12131595162301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132132033113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2505601056 + ... + 2505605897.

It is an arithmetic number, because the mean of its divisors is an integer number (1465778034045).

Almost surely, 212132132033213 is an apocalyptic number.

It is an amenable number.

12132132033213 is a deficient number, since it is larger than the sum of its proper divisors (5457204375327).

12132132033213 is a wasteful number, since it uses less digits than its factorization.

12132132033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011207228 (or 5011207225 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12132132033213 its reverse (31233023123121), we get a palindrome (43365155156334).

The spelling of 12132132033213 in words is "twelve trillion, one hundred thirty-two billion, one hundred thirty-two million, thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 269 807 2421 5011206953 15033620859 45100862577 1348014670357 4044044011071 12132132033213