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13212132320241 = 334775011138799
BaseRepresentation
bin1100000001000011000001…
…1101000010001111110001
31201210001211012212221101000
43000100300131002033301
53212431421333221431
644033323024232213
72532354645515421
oct300206035021761
951701735787330
1013212132320241
114234263289738
12159472446b669
1374ab8b68a9ba
1433968352a481
1517da27cb79e6
hexc04307423f1

13212132320241 has 32 divisors (see below), whose sum is σ = 19990397952000. Its totient is φ = 8620505047440.

The previous prime is 13212132320237. The next prime is 13212132320243. The reversal of 13212132320241 is 14202323121231.

13212132320241 is a `hidden beast` number, since 1 + 321 + 2 + 13 + 2 + 320 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 13212132320241 - 22 = 13212132320237 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13212132320243) 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, 95119560 + ... + 95258358.

It is an arithmetic number, because the mean of its divisors is an integer number (624699936000).

Almost surely, 213212132320241 is an apocalyptic number.

It is an amenable number.

13212132320241 is a deficient number, since it is larger than the sum of its proper divisors (6778265631759).

13212132320241 is a wasteful number, since it uses less digits than its factorization.

13212132320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213866 (or 213860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13212132320241 its reverse (14202323121231), we get a palindrome (27414455441472).

The spelling of 13212132320241 in words is "thirteen trillion, two hundred twelve billion, one hundred thirty-two million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 27 47 141 423 1269 75011 138799 225033 416397 675099 1249191 2025297 3525517 3747573 6523553 10576551 19570659 31729653 58711977 95188959 176135931 10411451789 31234355367 93703066101 281109198303 489338234083 1468014702249 4404044106747 13212132320241