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22131322333 = 241752912197
BaseRepresentation
bin10100100111001000…
…010010110111011101
32010010100222122211221
4110213020102313131
5330311104303313
614100023013341
71412302064431
oct244710226735
963110878757
1022131322333
11942761103a
12435789a251
132119111603
1410dd3a69c1
15897e1dc8d
hex527212ddd

22131322333 has 8 divisors (see below), whose sum is σ = 22227927480. Its totient is φ = 22034757120.

The previous prime is 22131322289. The next prime is 22131322351. The reversal of 22131322333 is 33322313122.

It can be written as a sum of positive squares in 4 ways, for example, as 5978691684 + 16152630649 = 77322^2 + 127093^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22131322333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22131322298 and 22131322307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131322373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1808391 + ... + 1820587.

It is an arithmetic number, because the mean of its divisors is an integer number (2778490935).

Almost surely, 222131322333 is an apocalyptic number.

It is an amenable number.

22131322333 is a deficient number, since it is larger than the sum of its proper divisors (96605147).

22131322333 is a wasteful number, since it uses less digits than its factorization.

22131322333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967.

The product of its digits is 3888, while the sum is 25.

Adding to 22131322333 its reverse (33322313122), we get a palindrome (55453635455).

The spelling of 22131322333 in words is "twenty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 241 7529 12197 1814489 2939477 91831213 22131322333