Search a number
-
+
131114102401 = 10717913814957
BaseRepresentation
bin111101000011100000…
…0100110111010000001
3110112102120022111210201
41322013000212322001
54122010202234101
6140122154125201
712321062324212
oct1720700467201
9415376274721
10131114102401
1150672546817
12214b1a20801
13c496952419
1464bb439409
153625a82e01
hex1e87026e81

131114102401 has 16 divisors (see below), whose sum is σ = 133202024640. Its totient is φ = 129043535040.

The previous prime is 131114102387. The next prime is 131114102407. The reversal of 131114102401 is 104201411131.

It is a cyclic number.

It is not a de Polignac number, because 131114102401 - 211 = 131114100353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131114102407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26447815 + ... + 26452771.

It is an arithmetic number, because the mean of its divisors is an integer number (8325126540).

Almost surely, 2131114102401 is an apocalyptic number.

It is an amenable number.

131114102401 is a deficient number, since it is larger than the sum of its proper divisors (2087922239).

131114102401 is a wasteful number, since it uses less digits than its factorization.

131114102401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 131114102401 its reverse (104201411131), we get a palindrome (235315513532).

The spelling of 131114102401 in words is "one hundred thirty-one billion, one hundred fourteen million, one hundred two thousand, four hundred one".

Divisors: 1 107 179 1381 4957 19153 147767 247199 530399 887303 6845617 26450293 94941421 732481019 1225365443 131114102401