Search a number
-
+
113311440023121 = 3212590160002569
BaseRepresentation
bin11001110000111001100000…
…001000011010111001010001
3112212012110122002011110210100
4121300321200020122321101
5104322443312121214441
61040554320143523013
732603324054346354
oct3160714010327121
9485173562143710
10113311440023121
113311712596292a
1210860623bb9469
134b2c2b8a700c2
141dda43546c29b
15d17755b21cb6
hex670e6021ae51

113311440023121 has 6 divisors (see below), whose sum is σ = 163672080033410. Its totient is φ = 75540960015408.

The previous prime is 113311440023071. The next prime is 113311440023167. The reversal of 113311440023121 is 121320044113311.

113311440023121 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 4 + 400 + 231 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89746046486721 + 23565393536400 = 9473439^2 + 4854420^2 .

It is not a de Polignac number, because 113311440023121 - 222 = 113311435828817 is a prime.

It is a super-3 number, since 3×1133114400231213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113311445023121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6295080001276 + ... + 6295080001293.

Almost surely, 2113311440023121 is an apocalyptic number.

It is an amenable number.

113311440023121 is a deficient number, since it is larger than the sum of its proper divisors (50360640010289).

113311440023121 is a wasteful number, since it uses less digits than its factorization.

113311440023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590160002575 (or 12590160002572 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113311440023121 its reverse (121320044113311), we get a palindrome (234631484136432).

The spelling of 113311440023121 in words is "one hundred thirteen trillion, three hundred eleven billion, four hundred forty million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 12590160002569 37770480007707 113311440023121