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535015122133141 = 13237738323123273
BaseRepresentation
bin111100110100101111110101…
…0010011011110000010010101
32121011022221112202100111012001
41321221133222103132002111
51030111141432231230031
65133514315401155301
7220456365323333056
oct17151375223360225
92534287482314161
10535015122133141
111455217036a0881
1250009621a8bb31
1319c6b92bb06070
149618c276c672d
1541cbe877d5861
hex1e697ea4de095

535015122133141 has 16 divisors (see below), whose sum is σ = 601228802232576. Its totient is φ = 472381808950656.

The previous prime is 535015122133123. The next prime is 535015122133169. The reversal of 535015122133141 is 141331221510535.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-535015122133141 is a prime.

It is a super-2 number, since 2×5350151221331412 (a number of 30 digits) contains 22 as substring.

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 535015122133141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535015122113141) 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, 11575881 + ... + 34699153.

It is an arithmetic number, because the mean of its divisors is an integer number (37576800139536).

Almost surely, 2535015122133141 is an apocalyptic number.

It is an amenable number.

535015122133141 is a deficient number, since it is larger than the sum of its proper divisors (66213680099435).

535015122133141 is a wasteful number, since it uses less digits than its factorization.

535015122133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23200692.

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 535015122133141 its reverse (141331221510535), we get a palindrome (676346343643676).

The spelling of 535015122133141 in words is "five hundred thirty-five trillion, fifteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 13 23 299 77383 1005979 1779809 23123273 23137517 300602549 531835279 6913858627 1789348234559 23261527049267 41155009394857 535015122133141