Search a number
-
+
131423421241000 = 23537331187930187
BaseRepresentation
bin11101111000011101100110…
…010101101001011010101000
3122020022221211012012101212001
4131320131212111221122220
5114211220131314203000
61143303030343100344
736453012615501130
oct3570354625513250
9566287735171761
10131423421241000
113896a3a60a8539
12128a68a5a416b4
1358442385b8a35
142464cdb1c9ac0
15102d9589c546a
hex7787665696a8

131423421241000 has 256 divisors, whose sum is σ = 352724899737600. Its totient is φ = 44897931936000.

The previous prime is 131423421240997. The next prime is 131423421241037. The reversal of 131423421241000 is 142124324131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 131423421241000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4353627907 + ... + 4353658093.

It is an arithmetic number, because the mean of its divisors is an integer number (1377831639600).

Almost surely, 2131423421241000 is an apocalyptic number.

131423421241000 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 131423421241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176362449868800).

131423421241000 is an abundant number, since it is smaller than the sum of its proper divisors (221301478496600).

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

131423421241000 is a wasteful number, since it uses less digits than its factorization.

131423421241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131423421241000 its reverse (142124324131), we get a palindrome (131565545565131).

The spelling of 131423421241000 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, four hundred twenty-one million, two hundred forty-one thousand".