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221022121323130 = 25531213343794617
BaseRepresentation
bin110010010000010010111001…
…000001110110101001111010
31001222120111201122200122020021
4302100102321001312221322
5212432211301024320010
62102024054422521054
764361215131256051
oct6220227101665172
91058514648618207
10221022121323130
1164473a564a7806
122095769929618a
1396433b185b65a
143c8175620b398
151a8445c7828da
hexc904b9076a7a

221022121323130 has 32 divisors (see below), whose sum is σ = 405680399596944. Its totient is φ = 86669247515136.

The previous prime is 221022121323071. The next prime is 221022121323137. The reversal of 221022121323130 is 31323121220122.

It can be written as a sum of positive squares in 8 ways, for example, as 127007242523001 + 94014878800129 = 11269749^2 + 9696127^2 .

It is a super-2 number, since 2×2210221213231302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221022121323095 and 221022121323104.

It is not an unprimeable number, because it can be changed into a prime (221022121323137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171254419 + ... + 172540198.

Almost surely, 2221022121323130 is an apocalyptic number.

221022121323130 is a deficient number, since it is larger than the sum of its proper divisors (184658278273814).

221022121323130 is a wasteful number, since it uses less digits than its factorization.

221022121323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343795890.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221022121323130 its reverse (31323121220122), we get a palindrome (252345242543252).

The spelling of 221022121323130 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 53 106 265 530 1213 2426 6065 12130 64289 128578 321445 642890 343794617 687589234 1718973085 3437946170 18221114701 36442229402 91105573505 182211147010 417022870421 834045740842 2085114352105 4170228704210 22102212132313 44204424264626 110511060661565 221022121323130