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13462131320 = 2351139117823
BaseRepresentation
bin11001000100110011…
…11101001001111000
31021202012101010110022
430202121331021320
5210032301200240
610103500110012
7654414141161
oct144231751170
937665333408
1013462131320
115789027570
122738535308
1313670583a1
14919ca4768
1553bcd99b5
hex32267d278

13462131320 has 64 divisors (see below), whose sum is σ = 33056087040. Its totient is φ = 4893443200.

The previous prime is 13462131301. The next prime is 13462131349. The reversal of 13462131320 is 2313126431.

13462131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13462131320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1716929 + ... + 1724751.

It is an arithmetic number, because the mean of its divisors is an integer number (516501360).

Almost surely, 213462131320 is an apocalyptic number.

13462131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13462131320 is an abundant number, since it is smaller than the sum of its proper divisors (19593955720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13462131320 is a wasteful number, since it uses less digits than its factorization.

13462131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13462131320 its reverse (2313126431), we get a palindrome (15775257751).

The spelling of 13462131320 in words is "thirteen billion, four hundred sixty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3911 7822 7823 15644 15646 19555 31288 31292 39110 39115 43021 62584 78220 78230 86042 86053 156440 156460 172084 172106 215105 312920 344168 344212 430210 430265 688424 860420 860530 1720840 1721060 3442120 30595753 61191506 122383012 152978765 244766024 305957530 336553283 611915060 673106566 1223830120 1346213132 1682766415 2692426264 3365532830 6731065660 13462131320