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13233101325 = 3521767971597
BaseRepresentation
bin11000101001100000…
…10001101000001101
31021011020102012100220
430110300101220031
5204100133220300
610025035141553
7645633335223
oct142460215015
937136365326
1013233101325
115680816984
1226938a48b9
13132b778792
148d76c6b13
15526b48da0
hex314c11a0d

13233101325 has 96 divisors (see below), whose sum is σ = 23768728704. Its totient is φ = 6471843840.

The previous prime is 13233101281. The next prime is 13233101341. The reversal of 13233101325 is 52310133231.

It is not a de Polignac number, because 13233101325 - 26 = 13233101261 is a prime.

It is a super-2 number, since 2×132331013252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233101295 and 13233101304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8285427 + ... + 8287023.

It is an arithmetic number, because the mean of its divisors is an integer number (247590924).

Almost surely, 213233101325 is an apocalyptic number.

13233101325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13233101325 is a deficient number, since it is larger than the sum of its proper divisors (10535627379).

13233101325 is a wasteful number, since it uses less digits than its factorization.

13233101325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13233101325 its reverse (52310133231), we get a palindrome (65543234556).

The spelling of 13233101325 in words is "thirteen billion, two hundred thirty-three million, one hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 67 75 85 97 201 255 291 335 425 485 1005 1139 1275 1455 1597 1649 1675 2425 3417 4791 4947 5025 5695 6499 7275 7985 8245 17085 19497 23955 24735 27149 28475 32495 39925 41225 81447 85425 97485 106999 110483 119775 123675 135745 154909 162475 320997 331449 407235 464727 487425 534995 552415 678725 774545 1604985 1657245 1818983 2036175 2323635 2633453 2674975 2762075 3872725 5456949 7900359 8024925 8286225 9094915 10378903 11618175 13167265 27284745 31136709 39501795 45474575 51894515 65836325 136423725 155683545 176441351 197508975 259472575 529324053 778417725 882206755 2646620265 4411033775 13233101325