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22112130321 = 3213921176489
BaseRepresentation
bin10100100101111111…
…000101010100010001
32010002000212121100200
4110211333011110101
5330241201132241
614054055405413
71411650002151
oct244577052421
963060777320
1022112130321
1194177a2876
124351383869
132115151ba8
1410daa0c761
158963cc4b6
hex525fc5511

22112130321 has 12 divisors (see below), whose sum is σ = 31942219140. Its totient is φ = 14740277760.

The previous prime is 22112130319. The next prime is 22112130323. The reversal of 22112130321 is 12303121122.

22112130321 is a `hidden beast` number, since 2 + 211 + 2 + 130 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (22112130319) and next prime (22112130323).

It can be written as a sum of positive squares in 2 ways, for example, as 9328662225 + 12783468096 = 96585^2 + 113064^2 .

It is not a de Polignac number, because 22112130321 - 21 = 22112130319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112130294 and 22112130303.

It is not an unprimeable number, because it can be changed into a prime (22112130323) 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, 37045 + ... + 213533.

It is an arithmetic number, because the mean of its divisors is an integer number (2661851595).

Almost surely, 222112130321 is an apocalyptic number.

It is an amenable number.

22112130321 is a deficient number, since it is larger than the sum of its proper divisors (9830088819).

22112130321 is a wasteful number, since it uses less digits than its factorization.

22112130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190416 (or 190413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112130321 its reverse (12303121122), we get a palindrome (34415251443).

The spelling of 22112130321 in words is "twenty-two billion, one hundred twelve million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 13921 41763 125289 176489 529467 1588401 2456903369 7370710107 22112130321