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13315104231 = 3111323317213
BaseRepresentation
bin11000110011010010…
…00101110111100111
31021100221201101012120
430121221011313213
5204232131313411
610041124521023
7650650342602
oct143151056747
937327641176
1013315104231
115713035980
1226b7250173
13134275a700
14904551339
1552de46106
hex319a45de7

13315104231 has 48 divisors (see below), whose sum is σ = 21038101632. Its totient is φ = 7425475200.

The previous prime is 13315104211. The next prime is 13315104251. The reversal of 13315104231 is 13240151331.

It is an interprime number because it is at equal distance from previous prime (13315104211) and next prime (13315104251).

It is not a de Polignac number, because 13315104231 - 211 = 13315102183 is a prime.

It is a super-2 number, since 2×133151042312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315104211) 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 47 ways as a sum of consecutive naturals, for example, 1842381 + ... + 1849593.

It is an arithmetic number, because the mean of its divisors is an integer number (438293784).

Almost surely, 213315104231 is an apocalyptic number.

13315104231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13315104231 is a deficient number, since it is larger than the sum of its proper divisors (7722997401).

13315104231 is a wasteful number, since it uses less digits than its factorization.

13315104231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13315104231 its reverse (13240151331), we get a palindrome (26555255562).

The spelling of 13315104231 in words is "thirteen billion, three hundred fifteen million, one hundred four thousand, two hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 169 331 429 507 993 1859 3641 4303 5577 7213 10923 12909 21639 47333 55939 79343 93769 141999 167817 238029 281307 615329 1031459 1218997 1845987 2387503 3094377 3656991 7162509 13408967 26262533 31037539 40226901 78787599 93112617 341412929 403488007 1024238787 1210464021 4438368077 13315104231