Search a number
-
+
2220302311311 = 371409226933071
BaseRepresentation
bin100000010011110100010…
…101001001111110001111
321212020222200111210212110
4200103310111021332033
5242334134342430221
64415554240035103
7316261106153040
oct40236425117617
97766880453773
102220302311311
11786696853a67
122ba386902a93
131314b1a87cb6
147966b06c8c7
153cb4d9d6776
hex204f4549f8f

2220302311311 has 32 divisors (see below), whose sum is σ = 3387313612800. Its totient is φ = 1267246632960.

The previous prime is 2220302311273. The next prime is 2220302311327. The reversal of 2220302311311 is 1131132030222.

2220302311311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2220302311311 - 213 = 2220302303119 is a prime.

It is a super-2 number, since 2×22203023113112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220302311811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67120906 + ... + 67153976.

It is an arithmetic number, because the mean of its divisors is an integer number (105853550400).

Almost surely, 22220302311311 is an apocalyptic number.

2220302311311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2220302311311 is a deficient number, since it is larger than the sum of its proper divisors (1167011301489).

2220302311311 is a wasteful number, since it uses less digits than its factorization.

2220302311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36759.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2220302311311 its reverse (1131132030222), we get a palindrome (3351434341533).

The spelling of 2220302311311 in words is "two trillion, two hundred twenty billion, three hundred two million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 7 21 1409 2269 4227 6807 9863 15883 29589 33071 47649 99213 231497 694491 3197021 9591063 22379147 46597039 67137441 75038099 139791117 225114297 326179273 525266693 978537819 1575800079 105728681491 317186044473 740100770437 2220302311311