Search a number
-
+
131413123424411 = 2272416032396131
BaseRepresentation
bin11101111000010100000000…
…100010100110000010011011
3122020021222020112001010011122
4131320110000202212002123
5114211033034044040121
61143254204441115455
736452166463502213
oct3570240042460233
9566258215033148
10131413123424411
1138965aa1270514
12128a48b1188b8b
135843286cb653a
1424646016a1243
15102d5548da5ab
hex7785008a609b

131413123424411 has 8 divisors (see below), whose sum is σ = 131992637265984. Its totient is φ = 130833614858760.

The previous prime is 131413123424371. The next prime is 131413123424449. The reversal of 131413123424411 is 114424321314131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131413123424411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413123024411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53645816 + ... + 56041946.

It is an arithmetic number, because the mean of its divisors is an integer number (16499079658248).

Almost surely, 2131413123424411 is an apocalyptic number.

131413123424411 is a deficient number, since it is larger than the sum of its proper divisors (579513841573).

131413123424411 is a wasteful number, since it uses less digits than its factorization.

131413123424411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637961.

The product of its digits is 27648, while the sum is 35.

Adding to 131413123424411 its reverse (114424321314131), we get a palindrome (245837444738542).

The spelling of 131413123424411 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-three million, four hundred twenty-four thousand, four hundred eleven".

Divisors: 1 227 241603 2396131 54843881 543921737 578912437993 131413123424411