Search a number
-
+
130132310022000 = 2433531113173073229
BaseRepresentation
bin11101100101101011001010…
…000111001101011101110000
3122001202112020102122210212000
4131211223022013031131300
5114024041432331201000
61140433542524534000
736260514645301026
oct3545531207153560
9561675212583760
10130132310022000
1138511891513050
121271861b3b1300
13577c568c00730
14241c61a384716
15100a09010d000
hex765aca1cd770

130132310022000 has 2560 divisors, whose sum is σ = 581944153190400. Its totient is φ = 27309809664000.

The previous prime is 130132310021969. The next prime is 130132310022041. The reversal of 130132310022000 is 220013231031.

130132310022000 is a `hidden beast` number, since 1 + 3 + 0 + 132 + 310 + 0 + 220 + 0 + 0 = 666.

It is a super-2 number, since 2×1301323100220002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40301116386 + ... + 40301119614.

It is an arithmetic number, because the mean of its divisors is an integer number (227321934840).

Almost surely, 2130132310022000 is an apocalyptic number.

130132310022000 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 130132310022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290972076595200).

130132310022000 is an abundant number, since it is smaller than the sum of its proper divisors (451811843168400).

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

130132310022000 is a wasteful number, since it uses less digits than its factorization.

130132310022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130132310022000 its reverse (220013231031), we get a palindrome (130352323253031).

The spelling of 130132310022000 in words is "one hundred thirty trillion, one hundred thirty-two billion, three hundred ten million, twenty-two thousand".