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22013113333 = 37532211801
BaseRepresentation
bin10100100000000101…
…010111001111110101
32002211010120000120211
4110200011113033311
5330040324111313
614040201225421
71406335242661
oct244005271765
962733500524
1022013113333
119376912952
124324192271
1320ca793963
1410cb7d58a1
1588c86de3d
hex5201573f5

22013113333 has 12 divisors (see below), whose sum is σ = 23042786788. Its totient is φ = 21013948800.

The previous prime is 22013113321. The next prime is 22013113351. The reversal of 22013113333 is 33331131022.

It can be written as a sum of positive squares in 6 ways, for example, as 422631364 + 21590481969 = 20558^2 + 146937^2 .

It is not a de Polignac number, because 22013113333 - 213 = 22013105141 is a prime.

It is a super-2 number, since 2×220131133332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013113933) 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 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 209833.

Almost surely, 222013113333 is an apocalyptic number.

It is an amenable number.

22013113333 is a deficient number, since it is larger than the sum of its proper divisors (1029673455).

22013113333 is an equidigital number, since it uses as much as digits as its factorization.

22013113333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211944 (or 211891 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 22013113333 its reverse (33331131022), we get a palindrome (55344244355).

The spelling of 22013113333 in words is "twenty-two billion, thirteen million, one hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 37 53 1961 2809 103933 211801 7836637 11225453 415341761 594949009 22013113333