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22121133165 = 3252092123497
BaseRepresentation
bin10100100110100001…
…011011010001101101
32010002122210222221100
4110212201123101231
5330301002230130
614055020353313
71412116346415
oct244641332155
963078728840
1022121133165
11942189183a
1243543a5839
132116c84911
1410dbcb3645
158970a9c60
hex52685b46d

22121133165 has 24 divisors (see below), whose sum is σ = 38346762168. Its totient is φ = 11796871680.

The previous prime is 22121133121. The next prime is 22121133239. The reversal of 22121133165 is 56133112122.

It can be written as a sum of positive squares in 4 ways, for example, as 6844914756 + 15276218409 = 82734^2 + 123597^2 .

It is not a de Polignac number, because 22121133165 - 220 = 22120084589 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 929697 + ... + 953193.

It is an arithmetic number, because the mean of its divisors is an integer number (1597781757).

Almost surely, 222121133165 is an apocalyptic number.

It is an amenable number.

22121133165 is a deficient number, since it is larger than the sum of its proper divisors (16225629003).

22121133165 is a wasteful number, since it uses less digits than its factorization.

22121133165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44429 (or 44426 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 22121133165 its reverse (56133112122), we get a palindrome (78254245287).

The spelling of 22121133165 in words is "twenty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 20921 23497 62763 70491 104605 117485 188289 211473 313815 352455 941445 1057365 491580737 1474742211 2457903685 4424226633 7373711055 22121133165