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13971014611333 = 133617884933577
BaseRepresentation
bin1100101101001110000101…
…0111001111000110000101
31211110121122000210122110221
43023103201113033012011
53312400114220030313
645414110121344341
72641241523536203
oct313234127170605
954417560718427
1013971014611333
1144a708a58511a
1216978146380b1
137a45cbb437b0
143642b4a96073
151936413dec8d
hexcb4e15cf185

13971014611333 has 16 divisors (see below), whose sum is σ = 15052016775600. Its totient is φ = 12890914799616.

The previous prime is 13971014611319. The next prime is 13971014611339. The reversal of 13971014611333 is 33311641017931.

13971014611333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7360032591844 + 6610982019489 = 2712938^2 + 2571183^2 .

It is a cyclic number.

It is not a de Polignac number, because 13971014611333 - 221 = 13971012514181 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13971014611333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13971014611339) 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, 416072041 + ... + 416105617.

It is an arithmetic number, because the mean of its divisors is an integer number (940751048475).

Almost surely, 213971014611333 is an apocalyptic number.

13971014611333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13971014611333 is a deficient number, since it is larger than the sum of its proper divisors (1081002164267).

13971014611333 is a wasteful number, since it uses less digits than its factorization.

13971014611333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46056.

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 13971014611333 in words is "thirteen trillion, nine hundred seventy-one billion, fourteen million, six hundred eleven thousand, three hundred thirty-three".

Divisors: 1 13 3617 8849 33577 47021 115037 436501 32006833 121448009 297122873 416088829 1578824117 3862597349 1074693431641 13971014611333