Search a number
-
+
131302200120 = 233571318166431
BaseRepresentation
bin111101001001000111…
…0001001001100111000
3110112220200020212100220
41322102032021030320
54122401330400440
6140152553500040
712325535200110
oct1722216111470
9415820225326
10131302200120
115075973a383
1221544a11620
13c4c6900050
1464d8400040
15363733a8d0
hex1e92389338

131302200120 has 256 divisors, whose sum is σ = 487493959680. Its totient is φ = 27549849600.

The previous prime is 131302200119. The next prime is 131302200143. The reversal of 131302200120 is 21002203131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131302200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943305 + ... + 2009735.

It is an arithmetic number, because the mean of its divisors is an integer number (1904273280).

Almost surely, 2131302200120 is an apocalyptic number.

131302200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131302200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243746979840).

131302200120 is an abundant number, since it is smaller than the sum of its proper divisors (356191759560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131302200120 is a wasteful number, since it uses less digits than its factorization.

131302200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66646 (or 66642 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131302200120 its reverse (21002203131), we get a palindrome (152304403251).

The spelling of 131302200120 in words is "one hundred thirty-one billion, three hundred two million, two hundred thousand, one hundred twenty".