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13122444422131 = 111963876074483
BaseRepresentation
bin1011111011110100111010…
…1000110110101111110011
31201110111022201021122112221
42332331032220312233303
53204444231233002011
643524211233301511
72523031256124052
oct276751650665763
951414281248487
1013122444422131
1141aa2198583a0
12157b274104897
137425974129c5
143351b5c72399
1517b52903a971
hexbef4ea36bf3

13122444422131 has 8 divisors (see below), whose sum is σ = 14315469165504. Its totient is φ = 11929432220520.

The previous prime is 13122444422117. The next prime is 13122444422137.

13122444422131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13122444422131 - 229 = 13121907551219 is a prime.

It is a super-2 number, since 2×131224444221312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13122444422137) 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 7 ways as a sum of consecutive naturals, for example, 876985 + ... + 5197498.

It is an arithmetic number, because the mean of its divisors is an integer number (1789433645688).

Almost surely, 213122444422131 is an apocalyptic number.

13122444422131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122444422131 is a deficient number, since it is larger than the sum of its proper divisors (1193024743373).

13122444422131 is a wasteful number, since it uses less digits than its factorization.

13122444422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270881.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1312244 and 4422131, that added together give a palindrome (5734375).

The spelling of 13122444422131 in words is "thirteen trillion, one hundred twenty-two billion, four hundred forty-four million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 196387 2160257 6074483 66819313 1192949492921 13122444422131