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13132012322231 = 117193719446461
BaseRepresentation
bin1011111100011000100011…
…1011011111110110110111
31201111102000111222100001022
42333012020323133312313
53210123330123302411
643532432502451355
72523520336001405
oct277061073376667
951442014870038
1013132012322231
114203289672350
1215810a4433b5b
1374346072cb5a
14335842876475
1517b8d8ee3edb
hexbf188edfdb7

13132012322231 has 16 divisors (see below), whose sum is σ = 14349645849600. Its totient is φ = 11918356850400.

The previous prime is 13132012322167. The next prime is 13132012322237. The reversal of 13132012322231 is 13222321023131.

It is not a de Polignac number, because 13132012322231 - 26 = 13132012322167 is a prime.

It is a super-2 number, since 2×131320123222312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13132012322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132012322237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29190341 + ... + 29636801.

It is an arithmetic number, because the mean of its divisors is an integer number (896852865600).

Almost surely, 213132012322231 is an apocalyptic number.

13132012322231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13132012322231 is a deficient number, since it is larger than the sum of its proper divisors (1217633527369).

13132012322231 is a wasteful number, since it uses less digits than its factorization.

13132012322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450910.

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

Adding to 13132012322231 its reverse (13222321023131), we get a palindrome (26354333345362).

The spelling of 13132012322231 in words is "thirteen trillion, one hundred thirty-two billion, twelve million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 719 3719 7909 40909 446461 2673961 4911071 29413571 321005459 1660388459 3531060049 18264273049 1193819302021 13132012322231