Search a number
-
+
2131132323232 = 2511172411015059
BaseRepresentation
bin11111000000110001011…
…000101001010110100000
321112201211021110002001101
4133000301120221112200
5234404024333320412
64311010105444144
7306653305601233
oct37006130512640
97481737402041
102131132323232
11751898702140
122a503baa0654
13125c70bc6143
147520c4ad41a
153a68045e457
hex1f0316295a0

2131132323232 has 288 divisors, whose sum is σ = 5031067567680. Its totient is φ = 880496640000.

The previous prime is 2131132323211. The next prime is 2131132323289. The reversal of 2131132323232 is 2323232311312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131132323232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421253119 + ... + 421258177.

It is an arithmetic number, because the mean of its divisors is an integer number (17468984610).

Almost surely, 22131132323232 is an apocalyptic number.

2131132323232 is a gapful number since it is divisible by the number (22) 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 2131132323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515533783840).

2131132323232 is an abundant number, since it is smaller than the sum of its proper divisors (2899935244448).

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

2131132323232 is a wasteful number, since it uses less digits than its factorization.

2131132323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5231 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

Adding to 2131132323232 its reverse (2323232311312), we get a palindrome (4454364634544).

The spelling of 2131132323232 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirty-two".