Search a number
-
+
131123043223201 = 313641576529661
BaseRepresentation
bin11101110100000101110110…
…011010011100011010100001
3122012021020111022222002011201
4131310011312122130122201
5114141304443031120301
61142513032223441201
736422220150456661
oct3564056632343241
9565236438862151
10131123043223201
1138863a7458a937
1212858635a56201
135821b08374273
142454563ba61a1
151025c28046201
hex77417669c6a1

131123043223201 has 8 divisors (see below), whose sum is σ = 131544037143144. Its totient is φ = 130702062491520.

The previous prime is 131123043223177. The next prime is 131123043223219. The reversal of 131123043223201 is 102322340321131.

It can be written as a sum of positive squares in 4 ways, for example, as 1872179212176 + 129250864011025 = 1368276^2 + 11368855^2 .

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 131123043223201 - 25 = 131123043223169 is a prime.

It is a super-2 number, since 2×1311230432232012 (a number of 29 digits) contains 22 as substring.

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 131123043223201.

It is not an unprimeable number, because it can be changed into a prime (131123043223241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16816311 + ... + 23345971.

It is an arithmetic number, because the mean of its divisors is an integer number (16443004642893).

Almost surely, 2131123043223201 is an apocalyptic number.

It is an amenable number.

131123043223201 is a deficient number, since it is larger than the sum of its proper divisors (420993919943).

131123043223201 is an equidigital number, since it uses as much as digits as its factorization.

131123043223201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594131.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131123043223201 its reverse (102322340321131), we get a palindrome (233445383544332).

The spelling of 131123043223201 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, forty-three million, two hundred twenty-three thousand, two hundred one".

Divisors: 1 313 64157 6529661 20081141 2043783893 418923460777 131123043223201