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13525032213 = 337116505547
BaseRepresentation
bin11001001100010011…
…11001110100010101
31021220120201211021000
430212021321310111
5210144402012323
610114024213513
7656106606540
oct144611716425
937816654230
1013525032213
115810589980
12275560a299
1313770ac854
14924399857
155425b1e43
hex326279d15

13525032213 has 32 divisors (see below), whose sum is σ = 24981304320. Its totient is φ = 7025989680.

The previous prime is 13525032197. The next prime is 13525032277. The reversal of 13525032213 is 31223052531.

It is a happy number.

13525032213 is a `hidden beast` number, since 135 + 2 + 503 + 2 + 21 + 3 = 666.

13525032213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13525032213 - 24 = 13525032197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525030213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3250695 + ... + 3254852.

It is an arithmetic number, because the mean of its divisors is an integer number (780665760).

Almost surely, 213525032213 is an apocalyptic number.

It is an amenable number.

13525032213 is a deficient number, since it is larger than the sum of its proper divisors (11456272107).

13525032213 is a wasteful number, since it uses less digits than its factorization.

13525032213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505574 (or 6505568 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13525032213 its reverse (31223052531), we get a palindrome (44748084744).

The spelling of 13525032213 in words is "thirteen billion, five hundred twenty-five million, thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 6505547 19516641 45538829 58549923 71561017 136616487 175649769 214683051 409849461 500927119 644049153 1229548383 1502781357 1932147459 4508344071 13525032213