Search a number
-
+
131222313000001 = 4716931649122331
BaseRepresentation
bin11101110101100010010011…
…010110100101110001000001
3122012121201201121120020111201
4131311202103112211301001
5114144421244112000001
61143030410503341201
736432333146605606
oct3565422326456101
9565551647506451
10131222313000001
11388a2085803493
121287391b151801
13582b2987c1b72
14245929dc626ad
1510285d80dd501
hex7758935a5c41

131222313000001 has 8 divisors (see below), whose sum is σ = 134093435059584. Its totient is φ = 128354489188560.

The previous prime is 131222312999977. The next prime is 131222313000007. The reversal of 131222313000001 is 100000313222131.

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

It is not a de Polignac number, because 131222313000001 - 25 = 131222312999969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131222313000007) 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 7 ways as a sum of consecutive naturals, for example, 824481595 + ... + 824640736.

It is an arithmetic number, because the mean of its divisors is an integer number (16761679382448).

Almost surely, 2131222313000001 is an apocalyptic number.

It is an amenable number.

131222313000001 is a deficient number, since it is larger than the sum of its proper divisors (2871122059583).

131222313000001 is a wasteful number, since it uses less digits than its factorization.

131222313000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649124071.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131222313000001 its reverse (100000313222131), we get a palindrome (231222626222132).

The spelling of 131222313000001 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred thirteen million, one", and thus it is an aban number.

Divisors: 1 47 1693 79571 1649122331 77508749557 2791964106383 131222313000001