Search a number
-
+
3341222221433 = 411016133131561
BaseRepresentation
bin110000100111110000010…
…111010001011001111001
3102211102021112002010022012
4300213300113101121321
5414220310342041213
611034534123535305
7463252413166145
oct60476027213171
912742245063265
103341222221433
111079005925078
1245b67468a535
131b30ca9b5ac5
14b7a04a7c225
155bda5d644a8
hex309f05d1679

3341222221433 has 16 divisors (see below), whose sum is σ = 3457193603472. Its totient is φ = 3226903680000.

The previous prime is 3341222221429. The next prime is 3341222221481.

3341222221433 is nontrivially palindromic in base 10.

3341222221433 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 469542893824 + 2871679327609 = 685232^2 + 1694603^2 .

It is a cyclic number.

It is not a de Polignac number, because 3341222221433 - 22 = 3341222221429 is a prime.

It is a super-2 number, since 2×33412222214332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3341222221433.

It is not an unprimeable number, because it can be changed into a prime (3341222221333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25330973 + ... + 25462533.

It is an arithmetic number, because the mean of its divisors is an integer number (216074600217).

Almost surely, 23341222221433 is an apocalyptic number.

It is an amenable number.

3341222221433 is a deficient number, since it is larger than the sum of its proper divisors (115971382039).

3341222221433 is a wasteful number, since it uses less digits than its factorization.

3341222221433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137836.

The product of its digits is 41472, while the sum is 32.

The spelling of 3341222221433 in words is "three trillion, three hundred forty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 41 101 4141 6133 131561 251453 619433 5394001 13287661 25396753 544794101 806863613 33081408133 81493224913 3341222221433