Search a number
-
+
23131719 = 3213211937
BaseRepresentation
bin101100000111…
…1011001000111
31121112012202100
41120033121013
521410203334
62143443143
7400421262
oct130173107
947465670
1023131719
111206a226
1278b64b3
134a3ba10
143101cd9
15206dc99
hex160f647

23131719 has 24 divisors (see below), whose sum is σ = 36191792. Its totient is φ = 14152320.

The previous prime is 23131711. The next prime is 23131741. The reversal of 23131719 is 91713132.

It is not a de Polignac number, because 23131719 - 23 = 23131711 is a prime.

It is a super-2 number, since 2×231317192 = 1070152847789922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23131692 and 23131701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24219 + ... + 25155.

Almost surely, 223131719 is an apocalyptic number.

23131719 is a deficient number, since it is larger than the sum of its proper divisors (13060073).

23131719 is a wasteful number, since it uses less digits than its factorization.

23131719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1164 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 23131719 is about 4809.5445730339. The cubic root of 23131719 is about 284.9285508797.

The spelling of 23131719 in words is "twenty-three million, one hundred thirty-one thousand, seven hundred nineteen".

Divisors: 1 3 9 13 39 117 211 633 937 1899 2743 2811 8229 8433 12181 24687 36543 109629 197707 593121 1779363 2570191 7710573 23131719