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131342223224301 = 3374866012431691
BaseRepresentation
bin11101110111010001111110…
…100011110010110111101101
3122020001012020100210202220020
4131313101332203302313231
5114203402333121134201
61143201441231512353
736444106505651355
oct3567217643626755
9566035210722806
10131342223224301
1138938a18a1a811
12128930049886b9
1358396982053cb
142460dd72b9b65
15102b7a525da36
hex77747e8f2ded

131342223224301 has 16 divisors (see below), whose sum is σ = 179856460968768. Its totient is φ = 85194745488000.

The previous prime is 131342223224299. The next prime is 131342223224323. The reversal of 131342223224301 is 103422322243131.

It is a happy number.

It is not a de Polignac number, because 131342223224301 - 21 = 131342223224299 is a prime.

It is a super-2 number, since 2×1313422232243012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342223224341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52796866 + ... + 55228556.

It is an arithmetic number, because the mean of its divisors is an integer number (11241028810548).

Almost surely, 2131342223224301 is an apocalyptic number.

It is an amenable number.

131342223224301 is a deficient number, since it is larger than the sum of its proper divisors (48514237744467).

131342223224301 is a wasteful number, since it uses less digits than its factorization.

131342223224301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918332.

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

Adding to 131342223224301 its reverse (103422322243131), we get a palindrome (234764545467432).

The spelling of 131342223224301 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-three million, two hundred twenty-four thousand, three hundred one".

Divisors: 1 3 37 111 486601 1459803 2431691 7295073 18004237 54012711 89972567 269917701 1183263272291 3549789816873 43780741074767 131342223224301