Search a number
-
+
2132312323220 = 22517192519911327
BaseRepresentation
bin11111000001110111101…
…101111111010010010100
321112211212111211021201122
4133001313231333102110
5234413433423320340
64311323141143112
7310024454460362
oct37016755772224
97484774737648
102132312323220
11752343798642
122a530b0baa98
131260cb5071a1
14752c10b4632
153a6edd48db5
hex1f077b7f494

2132312323220 has 192 divisors, whose sum is σ = 5019518730240. Its totient is φ = 756138240000.

The previous prime is 2132312323213. The next prime is 2132312323247. The reversal of 2132312323220 is 223232132312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132312323220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1606866197 + ... + 1606867523.

It is an arithmetic number, because the mean of its divisors is an integer number (26143326720).

Almost surely, 22132312323220 is an apocalyptic number.

2132312323220 is a gapful number since it is divisible by the number (20) 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 2132312323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509759365120).

2132312323220 is an abundant number, since it is smaller than the sum of its proper divisors (2887206407020).

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

2132312323220 is a wasteful number, since it uses less digits than its factorization.

2132312323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 2132312323220 its reverse (223232132312), we get a palindrome (2355544455532).

The spelling of 2132312323220 in words is "two trillion, one hundred thirty-two billion, three hundred twelve million, three hundred twenty-three thousand, two hundred twenty".