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13122340314525 = 3252136173545413
BaseRepresentation
bin1011111011110100100001…
…1011101101110110011101
31201110111001110101102202200
42332331020123231312131
53204444023110031100
643524153034042113
72523025553203251
oct276751033556635
951414043342680
1013122340314525
1141aa176010852
12157b245279339
1374257b991680
143351a60d2261
1517b51ed23e00
hexbef486edd9d

13122340314525 has 72 divisors (see below), whose sum is σ = 25726479998856. Its totient is φ = 6354323596800.

The previous prime is 13122340314521. The next prime is 13122340314529. The reversal of 13122340314525 is 52541304322131.

13122340314525 is a `hidden beast` number, since 1 + 3 + 1 + 223 + 403 + 1 + 4 + 5 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (13122340314521) and next prime (13122340314529).

It can be written as a sum of positive squares in 12 ways, for example, as 6412862363769 + 6709477950756 = 2532363^2 + 2590266^2 .

It is not a de Polignac number, because 13122340314525 - 22 = 13122340314521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122340314525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122340314521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36594282 + ... + 36951131.

Almost surely, 213122340314525 is an apocalyptic number.

13122340314525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13122340314525 is a deficient number, since it is larger than the sum of its proper divisors (12604139684331).

13122340314525 is a wasteful number, since it uses less digits than its factorization.

13122340314525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73545503 (or 73545495 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13122340314525 its reverse (52541304322131), we get a palindrome (65663644636656).

The spelling of 13122340314525 in words is "thirteen trillion, one hundred twenty-two billion, three hundred forty million, three hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 61 65 75 117 183 195 225 305 325 549 585 793 915 975 1525 2379 2745 2925 3965 4575 7137 11895 13725 19825 35685 59475 178425 73545413 220636239 367727065 661908717 956090369 1103181195 1838635325 2868271107 3309543585 4486270193 4780451845 5515905975 8604813321 13458810579 14341355535 16547717925 22431350965 23902259225 40376431737 43024066605 58321512509 67294052895 71706777675 112156754825 174964537527 201882158685 215120333025 291607562545 336470264475 524893612581 874822687635 1009410793425 1458037812725 2624468062905 4374113438175 13122340314525