Search a number
-
+
2201133111113 = 97173241754269
BaseRepresentation
bin100000000001111101110…
…000011101011101001001
321210102111202021112200202
4200001331300131131021
5242030410034023423
64403104145341545
7315012062512016
oct40017560353511
97712452245622
102201133111113
1177954a292152
122b67170378b5
1312c7485582a1
147876d24c70d
153c3cab78728
hex2007dc1d749

2201133111113 has 16 divisors (see below), whose sum is σ = 2237646312720. Its totient is φ = 2164912889856.

The previous prime is 2201133111061. The next prime is 2201133111119. The reversal of 2201133111113 is 3111113311022.

It can be written as a sum of positive squares in 8 ways, for example, as 1042416496144 + 1158716614969 = 1020988^2 + 1076437^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201133111113 - 232 = 2196838143817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2201133111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40532543 + ... + 40586811.

It is an arithmetic number, because the mean of its divisors is an integer number (139852894545).

Almost surely, 22201133111113 is an apocalyptic number.

It is an amenable number.

2201133111113 is a deficient number, since it is larger than the sum of its proper divisors (36513201607).

2201133111113 is a wasteful number, since it uses less digits than its factorization.

2201133111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56956.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 2201133111113 its reverse (3111113311022), we get a palindrome (5312246422135).

The spelling of 2201133111113 in words is "two trillion, two hundred one billion, one hundred thirty-three million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 97 173 2417 16781 54269 234449 418141 5264093 9388537 40559677 131168173 910688089 12723312781 22692093929 2201133111113