Search a number
-
+
22041305431011 = 337297311186941
BaseRepresentation
bin1010000001011111001000…
…01011100011101111100011
32220001010110110202122211000
411000233210023203233203
510342111043142243021
6114513345205523043
74433301044631036
oct500574413435743
986033413678730
1022041305431011
117028735333569
12257b904713483
13c3b6421b7639
14562b3a81101d
1528352925eb26
hex140be42e3be3

22041305431011 has 16 divisors (see below), whose sum is σ = 32654236220320. Its totient is φ = 14694000942240.

The previous prime is 22041305430983. The next prime is 22041305431039. The reversal of 22041305431011 is 11013450314022.

22041305431011 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 13 + 0 + 543 + 101 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (22041305430983) and next prime (22041305431039).

It is not a de Polignac number, because 22041305431011 - 25 = 22041305430979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22041305431811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623200 + ... + 7563741.

It is an arithmetic number, because the mean of its divisors is an integer number (2040889763770).

Almost surely, 222041305431011 is an apocalyptic number.

22041305431011 is a deficient number, since it is larger than the sum of its proper divisors (10612930789309).

22041305431011 is a wasteful number, since it uses less digits than its factorization.

22041305431011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259923 (or 11259917 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22041305431011 its reverse (11013450314022), we get a palindrome (33054755745033).

The spelling of 22041305431011 in words is "twenty-two trillion, forty-one billion, three hundred five million, four hundred thirty-one thousand, eleven".

Divisors: 1 3 9 27 72973 218919 656757 1970271 11186941 33560823 100682469 302047407 816344645593 2449033936779 7347101810337 22041305431011