Search a number
-
+
2113722454320 = 2432517730923627
BaseRepresentation
bin11110110000100011101…
…011010001000100110000
321111001212221201002200200
4132300203223101010300
5234112400422014240
64255010343515200
7305466004263021
oct36604353210460
97431787632620
102113722454320
11745474247a24
122a17a1458b00
13124428017469
147443a1bac48
1539eb1cc4930
hex1ec23ad1130

2113722454320 has 240 divisors, whose sum is σ = 7517494876320. Its totient is φ = 530407858176.

The previous prime is 2113722454301. The next prime is 2113722454343. The reversal of 2113722454320 is 234542273112.

2113722454320 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 72 + 24 + 543 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21137224543202 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89450347 + ... + 89473973.

It is an arithmetic number, because the mean of its divisors is an integer number (31322895318).

Almost surely, 22113722454320 is an apocalyptic number.

2113722454320 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 2113722454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758747438160).

2113722454320 is an abundant number, since it is smaller than the sum of its proper divisors (5403772422000).

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

2113722454320 is a wasteful number, since it uses less digits than its factorization.

2113722454320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30972 (or 30963 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2113722454320 in words is "two trillion, one hundred thirteen billion, seven hundred twenty-two million, four hundred fifty-four thousand, three hundred twenty".