Search a number
-
+
131222042325 = 325211254320849
BaseRepresentation
bin111101000110101110…
…0010111011011010101
3110112201002102102112200
41322031130113123111
54122220320323300
6140141011435113
712323542645653
oct1721534273325
9415632372480
10131222042325
1150718470670
1221521bb5a99
13c4b3115bba
1464cb8d5dd3
1536302a5200
hex1e8d7176d5

131222042325 has 72 divisors (see below), whose sum is σ = 256513046400. Its totient is φ = 63594739200.

The previous prime is 131222042311. The next prime is 131222042353. The reversal of 131222042325 is 523240222131.

131222042325 is a `hidden beast` number, since 1 + 3 + 12 + 220 + 423 + 2 + 5 = 666.

It is not a de Polignac number, because 131222042325 - 215 = 131222009557 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6283501 + ... + 6304349.

It is an arithmetic number, because the mean of its divisors is an integer number (3562681200).

Almost surely, 2131222042325 is an apocalyptic number.

131222042325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131222042325 is a deficient number, since it is larger than the sum of its proper divisors (125291004075).

131222042325 is a wasteful number, since it uses less digits than its factorization.

131222042325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419 (or 23411 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 131222042325 its reverse (523240222131), we get a palindrome (654462264456).

The spelling of 131222042325 in words is "one hundred thirty-one billion, two hundred twenty-two million, forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 2543 7629 12715 20849 22887 27973 38145 62547 63575 83919 104245 114435 139865 187641 190725 229339 251757 312735 419595 521225 572175 688017 699325 938205 1146695 1258785 1563675 2064051 2097975 3440085 4691025 5733475 6293925 10320255 17200425 51601275 53019007 159057021 265095035 477171063 583209077 795285105 1325475175 1749627231 2385855315 2916045385 3976425525 5248881693 8748136155 11929276575 14580226925 26244408465 43740680775 131222042325