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13122220210231 = 112715507277363
BaseRepresentation
bin1011111011110100000101…
…0001100011100000110111
31201110110202002101111122111
42332331001101203200313
53204443301333211411
643524133103511451
72523022564266046
oct276750121434067
951413662344574
1013122220210231
1141aa114238700
12157b210bb8587
1374255cb2c142
1433519418a55d
1517b5144ec721
hexbef41463837

13122220210231 has 24 divisors (see below), whose sum is σ = 14629455453312. Its totient is φ = 11759094824400.

The previous prime is 13122220210223. The next prime is 13122220210241. The reversal of 13122220210231 is 13201202222131.

It is not a de Polignac number, because 13122220210231 - 23 = 13122220210223 is a prime.

It is a super-2 number, since 2×131222202102312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122220210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47171956 + ... + 47449318.

It is an arithmetic number, because the mean of its divisors is an integer number (609560643888).

Almost surely, 213122220210231 is an apocalyptic number.

13122220210231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122220210231 is a deficient number, since it is larger than the sum of its proper divisors (1507235243081).

13122220210231 is a wasteful number, since it uses less digits than its factorization.

13122220210231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282963 (or 282952 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13122220210231 its reverse (13201202222131), we get a palindrome (26323422432362).

The spelling of 13122220210231 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty million, two hundred ten thousand, two hundred thirty-one".

Divisors: 1 11 71 121 781 5507 8591 60577 277363 390997 666347 3050993 4300967 19692773 33560923 47310637 216620503 1527438041 2382825533 16801818451 108448100911 184820002961 1192929110021 13122220210231