Search a number
-
+
131331223001 = 11412029143519
BaseRepresentation
bin111101001001111110…
…0110110110111011001
3110112222200212101021102
41322103330312313121
54122431243114001
6140155511521145
712326336655656
oct1722374666731
9415880771242
10131331223001
1150774062730
12215526891b5
13c4cc922354
1464dc1d6c2d
153639b6ee6b
hex1e93f36dd9

131331223001 has 16 divisors (see below), whose sum is σ = 146838182400. Its totient is φ = 116421801600.

The previous prime is 131331222947. The next prime is 131331223033. The reversal of 131331223001 is 100322133131.

It is a cyclic number.

It is not a de Polignac number, because 131331223001 - 222 = 131327028697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131331223061) 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, 843320 + ... + 986838.

It is an arithmetic number, because the mean of its divisors is an integer number (9177386400).

Almost surely, 2131331223001 is an apocalyptic number.

131331223001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131331223001 is a deficient number, since it is larger than the sum of its proper divisors (15506959399).

131331223001 is a wasteful number, since it uses less digits than its factorization.

131331223001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145600.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131331223001 its reverse (100322133131), we get a palindrome (231653356132).

The spelling of 131331223001 in words is "one hundred thirty-one billion, three hundred thirty-one million, two hundred twenty-three thousand, one".

Divisors: 1 11 41 451 2029 22319 83189 143519 915079 1578709 5884279 64727069 291200051 3203200561 11939202091 131331223001