Search a number
-
+
131320102322231 = 19137223849225373
BaseRepresentation
bin11101110110111101011000…
…000011010000000000110111
3122012222002010201102111221222
4131312331120003100000313
5114203022032143302411
61143143342220100555
736442364361253454
oct3566753003200067
9565862121374858
10131320102322231
113892a5a7286669
121288a87069475b
135837581301a44
14245dcd946682b
15102ae0d1ec4db
hex776f580d0037

131320102322231 has 16 divisors (see below), whose sum is σ = 139241916924000. Its totient is φ = 123499326924288.

The previous prime is 131320102322207. The next prime is 131320102322239. The reversal of 131320102322231 is 132223201023131.

It is a cyclic number.

It is not a de Polignac number, because 131320102322231 - 218 = 131320102060087 is a prime.

It is a super-3 number, since 3×1313201023222313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131320102322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320102322239) 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 15 ways as a sum of consecutive naturals, for example, 582566261 + ... + 582791633.

It is an arithmetic number, because the mean of its divisors is an integer number (8702619807750).

Almost surely, 2131320102322231 is an apocalyptic number.

131320102322231 is a deficient number, since it is larger than the sum of its proper divisors (7921814601769).

131320102322231 is a wasteful number, since it uses less digits than its factorization.

131320102322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449378.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131320102322231 its reverse (132223201023131), we get a palindrome (263543303345362).

The spelling of 131320102322231 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred two million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 19 137 2603 223849 225373 4253131 4282087 30667313 30876101 582678947 586645919 50449520677 958540892863 6911584332749 131320102322231