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13252523341 = 232611812269
BaseRepresentation
bin11000101011110100…
…10111010101001101
31021012120221221100211
430111322113111031
5204120121221331
610031011322421
7646260406201
oct142572272515
937176857324
1013252523341
115690781a32
12269a2b0411
1313327b8ab5
148da100b01
155286d38b1
hex315e9754d

13252523341 has 24 divisors (see below), whose sum is σ = 14164918040. Its totient is φ = 12394166400.

The previous prime is 13252523303. The next prime is 13252523369. The reversal of 13252523341 is 14332525231.

It can be written as a sum of positive squares in 4 ways, for example, as 3480410025 + 9772113316 = 58995^2 + 98854^2 .

It is not a de Polignac number, because 13252523341 - 225 = 13218968909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252523371) 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 23 ways as a sum of consecutive naturals, for example, 5839555 + ... + 5841823.

Almost surely, 213252523341 is an apocalyptic number.

It is an amenable number.

13252523341 is a deficient number, since it is larger than the sum of its proper divisors (912394699).

13252523341 is a wasteful number, since it uses less digits than its factorization.

13252523341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2534 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The spelling of 13252523341 in words is "thirteen billion, two hundred fifty-two million, five hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 23 61 181 529 1403 2269 4163 11041 32269 52187 95749 138409 253943 410689 1200301 3183407 5840689 9445847 25052029 73218361 217254481 576196667 13252523341