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21233131131 = 38322773709
BaseRepresentation
bin10011110001100101…
…111101111001111011
32000210202212211011010
4103301211331321323
5321441140144011
613430535405003
71351114431252
oct236145757173
960722784133
1021233131131
119006604763
124146b23763
132004ccc324
141055d9b799
1584414d1a6
hex4f197de7b

21233131131 has 24 divisors (see below), whose sum is σ = 28767250960. Its totient is φ = 13930629696.

The previous prime is 21233131097. The next prime is 21233131141. The reversal of 21233131131 is 13113133212.

It is a happy number.

It is not a de Polignac number, because 21233131131 - 217 = 21233000059 is a prime.

It is a super-5 number, since 5×212331311315 (a number of 53 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21233131098 and 21233131107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233131141) 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 23 ways as a sum of consecutive naturals, for example, 5722905 + ... + 5726613.

Almost surely, 221233131131 is an apocalyptic number.

21233131131 is a deficient number, since it is larger than the sum of its proper divisors (7534119829).

21233131131 is an equidigital number, since it uses as much as digits as its factorization.

21233131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4072 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 21233131131 its reverse (13113133212), we get a palindrome (34346264343).

The spelling of 21233131131 in words is "twenty-one billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 83 249 277 831 3709 6889 11127 20667 22991 68973 307847 923541 1027393 1908253 3082179 5724759 25551301 76653903 85273619 255820857 7077710377 21233131131