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13212572163201 = 332332717749941
BaseRepresentation
bin1100000001000100101010…
…1010111001110010000001
31201210002221212112021111000
43000101022222321302001
53212433321433210301
644033434415442213
72532401566232415
oct300211252716201
951702855467430
1013212572163201
114234469598214
121594827826369
1374ac2b83c4c8
143396c5b02d45
1517da516eb786
hexc044aab9c81

13212572163201 has 32 divisors (see below), whose sum is σ = 19730732336640. Its totient is φ = 8738212348800.

The previous prime is 13212572163181. The next prime is 13212572163247. The reversal of 13212572163201 is 10236127521231.

13212572163201 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 572 + 1 + 63 + 20 + 1 = 666.

It is not a de Polignac number, because 13212572163201 - 210 = 13212572162177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13212572163701) 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, 2170110 + ... + 5579831.

It is an arithmetic number, because the mean of its divisors is an integer number (616585385520).

Almost surely, 213212572163201 is an apocalyptic number.

It is an amenable number.

13212572163201 is a deficient number, since it is larger than the sum of its proper divisors (6518160173439).

13212572163201 is a wasteful number, since it uses less digits than its factorization.

13212572163201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750454 (or 7750448 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 13212572163201 its reverse (10236127521231), we get a palindrome (23448699684432).

The spelling of 13212572163201 in words is "thirteen trillion, two hundred twelve billion, five hundred seventy-two million, one hundred sixty-three thousand, two hundred one".

Divisors: 1 3 9 27 233 271 699 813 2097 2439 6291 7317 63143 189429 568287 1704861 7749941 23249823 69749469 209248407 1805736253 2100234011 5417208759 6300702033 16251626277 18902106099 48754878831 56706318297 489354524563 1468063573689 4404190721067 13212572163201