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13400411323 = 1331372107227
BaseRepresentation
bin11000111101011101…
…00000110010111011
31021120220020102112111
430132232200302323
5204421001130243
610053413153151
7653034421405
oct143656406273
937526212474
1013400411323
115757201402
12271b92b7b7
131357328590
149119d9b75
1553669739d
hex31eba0cbb

13400411323 has 48 divisors (see below), whose sum is σ = 15521393664. Its totient is φ = 11487381120.

The previous prime is 13400411281. The next prime is 13400411327. The reversal of 13400411323 is 32311400431.

It is not a de Polignac number, because 13400411323 - 233 = 4810476731 is a prime.

It is a super-2 number, since 2×134004113232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13400411294 and 13400411303.

It is not an unprimeable number, because it can be changed into a prime (13400411327) 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, 59032536 + ... + 59032762.

It is an arithmetic number, because the mean of its divisors is an integer number (323362368).

Almost surely, 213400411323 is an apocalyptic number.

13400411323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13400411323 is a deficient number, since it is larger than the sum of its proper divisors (2120982341).

13400411323 is a wasteful number, since it uses less digits than its factorization.

13400411323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13400411323 its reverse (32311400431), we get a palindrome (45711811754).

The spelling of 13400411323 in words is "thirteen billion, four hundred million, four hundred eleven thousand, three hundred twenty-three".

Divisors: 1 13 31 37 107 227 403 481 1147 1369 1391 2951 3317 3959 7037 8399 14911 17797 24289 42439 43121 51467 91481 109187 122729 146483 260369 310763 315757 551707 752959 898693 1595477 1904279 3384797 4039919 4540973 9633653 9788467 11683009 27859483 33251641 59032649 125237489 362173279 432271333 1030800871 13400411323