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13252420323441 = 3213176662855869
BaseRepresentation
bin1100000011011001000111…
…0011100100100001110001
31201220220210221212112222200
43000312101303210201301
53214111424100322231
644104024452053413
72535312221061615
oct300662163444161
951826727775880
1013252420323441
11424a357867852
1215a04a8904269
1375190c2ca650
1433b5c6067345
1517ead4bddbe6
hexc0d91ce4871

13252420323441 has 24 divisors (see below), whose sum is σ = 21827515830120. Its totient is φ = 7675609959936.

The previous prime is 13252420323433. The next prime is 13252420323469. The reversal of 13252420323441 is 14432302425231.

13252420323441 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 4 + 203 + 2 + 3 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30178985841 + 13222241337600 = 173721^2 + 3636240^2 .

It is not a de Polignac number, because 13252420323441 - 23 = 13252420323433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13252420323396 and 13252420323405.

It is not an unprimeable number, because it can be changed into a prime (13252420323431) 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, 3331425946 + ... + 3331429923.

It is an arithmetic number, because the mean of its divisors is an integer number (909479826255).

Almost surely, 213252420323441 is an apocalyptic number.

It is an amenable number.

13252420323441 is a deficient number, since it is larger than the sum of its proper divisors (8575095506679).

13252420323441 is a wasteful number, since it uses less digits than its factorization.

13252420323441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662855905 (or 6662855902 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13252420323441 its reverse (14432302425231), we get a palindrome (27684722748672).

The spelling of 13252420323441 in words is "thirteen trillion, two hundred fifty-two billion, four hundred twenty million, three hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 6662855869 19988567607 59965702821 86617126297 113268549773 259851378891 339805649319 779554136673 1019416947957 1472491147049 4417473441147 13252420323441