Search a number
-
+
131035342320 = 243252914474337
BaseRepresentation
bin111101000001001010…
…0001010010111110000
3110112020002010002021200
41322002110022113300
54121330021423240
6140110302051200
712316115014041
oct1720224122760
9415202102250
10131035342320
1150632042143
122148b579b00
13c48353751c
1464b0bb68c8
15361dbc6930
hex1e8250a5f0

131035342320 has 240 divisors, whose sum is σ = 455654496960. Its totient is φ = 33706745856.

The previous prime is 131035342309. The next prime is 131035342357. The reversal of 131035342320 is 23243530131.

131035342320 is a `hidden beast` number, since 1 + 3 + 103 + 534 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30211192 + ... + 30215528.

It is an arithmetic number, because the mean of its divisors is an integer number (1898560404).

Almost surely, 2131035342320 is an apocalyptic number.

131035342320 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 131035342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227827248480).

131035342320 is an abundant number, since it is smaller than the sum of its proper divisors (324619154640).

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

131035342320 is a wasteful number, since it uses less digits than its factorization.

131035342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 131035342320 its reverse (23243530131), we get a palindrome (154278872451).

The spelling of 131035342320 in words is "one hundred thirty-one billion, thirty-five million, three hundred forty-two thousand, three hundred twenty".