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10022213322 = 2331130754959
BaseRepresentation
bin10010101010101111…
…01101011011001010
3221212110120012002000
421111113231123022
5131011141311242
64334254451430
7503234256552
oct112527553312
927773505060
1010022213322
114283307230
121b38503b76
13c39497154
146b10a6162
153d9ce9a4c
hex2555ed6ca

10022213322 has 64 divisors (see below), whose sum is σ = 24375859200. Its totient is φ = 3027086640.

The previous prime is 10022213281. The next prime is 10022213353. The reversal of 10022213322 is 22331222001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022213295 and 10022213304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154879 + ... + 209837.

It is an arithmetic number, because the mean of its divisors is an integer number (380872800).

Almost surely, 210022213322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187929600).

10022213322 is an abundant number, since it is smaller than the sum of its proper divisors (14353645878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022213322 is a wasteful number, since it uses less digits than its factorization.

10022213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55288 (or 55282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022213322 its reverse (22331222001), we get a palindrome (32353435323).

The spelling of 10022213322 in words is "ten billion, twenty-two million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 307 594 614 921 1842 2763 3377 5526 6754 8289 10131 16578 20262 30393 54959 60786 91179 109918 164877 182358 329754 494631 604549 989262 1209098 1483893 1813647 2967786 3627294 5440941 10881882 16322823 16872413 32645646 33744826 50617239 101234478 151851717 185596543 303703434 371193086 455555151 556789629 911110302 1113579258 1670368887 3340737774 5011106661 10022213322