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13129319 = 74353823
BaseRepresentation
bin110010000101…
…011001100111
3220201001001002
4302011121213
511330114234
61145223515
7216411620
oct62053147
926631032
1013129319
117458285
124491b9b
132949038
141a5aa47
15124527e
hexc85667

13129319 has 16 divisors (see below), whose sum is σ = 15662592. Its totient is φ = 10771488.

The previous prime is 13129313. The next prime is 13129331. The reversal of 13129319 is 91392131.

13129319 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13129319 - 28 = 13129063 is a prime.

It is a super-2 number, since 2×131293192 = 344758034807522, which contains 22 as substring.

It is a Duffinian number.

13129319 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13129291 and 13129300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15542 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (978912).

Almost surely, 213129319 is an apocalyptic number.

13129319 is a deficient number, since it is larger than the sum of its proper divisors (2533273).

13129319 is an equidigital number, since it uses as much as digits as its factorization.

13129319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926.

The product of its digits is 1458, while the sum is 29.

The square root of 13129319 is about 3623.4402161482. The cubic root of 13129319 is about 235.9105701088.

The spelling of 13129319 in words is "thirteen million, one hundred twenty-nine thousand, three hundred nineteen".

Divisors: 1 7 43 53 301 371 823 2279 5761 15953 35389 43619 247723 305333 1875617 13129319