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131222320442133 = 31915115245999819
BaseRepresentation
bin11101110101100010010011…
…110010111110101100010101
3122012121201202010120100012020
4131311202103302332230111
5114144421303013122013
61143030411331043353
736432333300063024
oct3565422362765425
9565551663510166
10131222320442133
11388a2089a26908
1212873921740559
13582b29a1c93ab
1424592a0c3c8bb
1510285d8aad623
hex775893cbeb15

131222320442133 has 16 divisors (see below), whose sum is σ = 185391357811200. Its totient is φ = 82328399017200.

The previous prime is 131222320442053. The next prime is 131222320442177. The reversal of 131222320442133 is 331244023222131.

It is a happy number.

It is not a de Polignac number, because 131222320442133 - 212 = 131222320438037 is a prime.

It is a super-3 number, since 3×1312223204421333 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131222320442094 and 131222320442103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131222320482133) 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, 7622991303 + ... + 7623008516.

It is an arithmetic number, because the mean of its divisors is an integer number (11586959863200).

Almost surely, 2131222320442133 is an apocalyptic number.

It is an amenable number.

131222320442133 is a deficient number, since it is larger than the sum of its proper divisors (54169037369067).

131222320442133 is a wasteful number, since it uses less digits than its factorization.

131222320442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15245999992.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131222320442133 its reverse (331244023222131), we get a palindrome (462466343664264).

The spelling of 131222320442133 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred twenty million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 19 57 151 453 2869 8607 15245999819 45737999457 289673996561 869021989683 2302145972669 6906437918007 43740773480711 131222320442133