Search a number
-
+
131331000000 = 2635643777
BaseRepresentation
bin111101001001111110…
…0000000011011000000
3110112222200110001101010
41322103330000123000
54122431214000000
6140155503040520
712326335036554
oct1722374003300
9415880401333
10131331000000
1150773a20132
12215525a0140
13c4cc8749b5
1464dc179864
153639b28d50
hex1e93f006c0

131331000000 has 196 divisors, whose sum is σ = 434354283944. Its totient is φ = 35020800000.

The previous prime is 131330999977. The next prime is 131331000037. The reversal of 131331000000 is 133131.

It is a super-2 number, since 2×1313310000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 131331000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2978112 + ... + 3021888.

Almost surely, 2131331000000 is an apocalyptic number.

131331000000 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 131331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217177141972).

131331000000 is an abundant number, since it is smaller than the sum of its proper divisors (303023283944).

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

131331000000 is an frugal number, since it uses more digits than its factorization.

131331000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43822 (or 43787 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131331000000 its reverse (133131), we get a palindrome (131331133131).

The spelling of 131331000000 in words is "one hundred thirty-one billion, three hundred thirty-one million", and thus it is an aban number.