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22021320311 = 176171349857
BaseRepresentation
bin10100100000100100…
…101010111001110111
32002211200222222102222
4110200210222321313
5330044424222221
614041053152555
71406465064014
oct244044527167
962750888388
1022021320311
119380508981
124326a8b75b
1320cc3a8363
1410cc93070b
1588d4409ab
hex52092ae77

22021320311 has 32 divisors (see below), whose sum is σ = 24129705600. Its totient is φ = 20018073600.

The previous prime is 22021320257. The next prime is 22021320313. The reversal of 22021320311 is 11302312022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22021320311 is a prime.

It is a super-2 number, since 2×220213203112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 22021320311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021320313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25695395 + ... + 25696251.

It is an arithmetic number, because the mean of its divisors is an integer number (754053300).

Almost surely, 222021320311 is an apocalyptic number.

22021320311 is a deficient number, since it is larger than the sum of its proper divisors (2108385289).

22021320311 is a wasteful number, since it uses less digits than its factorization.

22021320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22021320311 its reverse (11302312022), we get a palindrome (33323632333).

The spelling of 22021320311 in words is "twenty-two billion, twenty-one million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 17 61 71 349 857 1037 1207 4331 5933 14569 21289 24779 52277 60847 73627 299093 361913 421243 888709 1034399 1511519 3711667 5084581 18244673 21235603 25695823 63098339 310159441 361005251 1295371783 22021320311