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12133445352017 = 116179332279419
BaseRepresentation
bin1011000010010000100110…
…1100110011101001010001
31120221221112200001100212112
42300210021230303221101
53042243244002231032
641450010003035105
72361420041542643
oct260441154635121
946857480040775
1012133445352017
1139588466459a0
12143b66236ba95
136a0243308b42
142dd39489c893
151609434991b2
hexb0909b33a51

12133445352017 has 16 divisors (see below), whose sum is σ = 13455179200320. Its totient is φ = 10848206145600.

The previous prime is 12133445352013. The next prime is 12133445352037. The reversal of 12133445352017 is 71025354433121.

It is a cyclic number.

It is not a de Polignac number, because 12133445352017 - 22 = 12133445352013 is a prime.

It is a super-2 number, since 2×121334453520172 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133445352013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4183334 + ... + 6462752.

It is an arithmetic number, because the mean of its divisors is an integer number (840948700020).

Almost surely, 212133445352017 is an apocalyptic number.

It is an amenable number.

12133445352017 is a deficient number, since it is larger than the sum of its proper divisors (1321733848303).

12133445352017 is a wasteful number, since it uses less digits than its factorization.

12133445352017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287424.

The product of its (nonzero) digits is 302400, while the sum is 41.

Adding to 12133445352017 its reverse (71025354433121), we get a palindrome (83158799785138).

The spelling of 12133445352017 in words is "twelve trillion, one hundred thirty-three billion, four hundred forty-five million, three hundred fifty-two thousand, seventeen".

Divisors: 1 11 61 671 7933 87263 483913 2279419 5323043 25073609 139044559 1529490149 18082630927 198908940197 1103040486547 12133445352017