Search a number
-
+
131522340096 = 2832743613109
BaseRepresentation
bin111101001111101010…
…1111010010100000000
3110120111000111010122100
41322133111322110000
54123324204340341
6140230500110400
712334150305450
oct1723725722400
9416430433570
10131522340096
1150861a28844
12215a6695400
13c5303b93a4
146519745d60
15364b8223b6
hex1e9f57a500

131522340096 has 432 divisors, whose sum is σ = 450877947520. Its totient is φ = 36090593280.

The previous prime is 131522340011. The next prime is 131522340101. The reversal of 131522340096 is 690043225131.

131522340096 is a `hidden beast` number, since 1 + 3 + 1 + 522 + 3 + 40 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131522340096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42302190 + ... + 42305298.

Almost surely, 2131522340096 is an apocalyptic number.

131522340096 is a gapful number since it is divisible by the number (16) 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 131522340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225438973760).

131522340096 is an abundant number, since it is smaller than the sum of its proper divisors (319355607424).

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

131522340096 is a wasteful number, since it uses less digits than its factorization.

131522340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131522340096 in words is "one hundred thirty-one billion, five hundred twenty-two million, three hundred forty thousand, ninety-six".