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22120031322 = 2323121393749
BaseRepresentation
bin10100100110011101…
…001110010001011010
32010002120202000111100
4110212131032101122
5330300212000242
614054541012230
71412104110144
oct244635162132
963076660440
1022120031322
1194211a9a24
124353b54076
13211698a23c
1410dbaa7c94
15896e3d54c
hex52674e45a

22120031322 has 24 divisors (see below), whose sum is σ = 47942212500. Its totient is φ = 7370962560.

The previous prime is 22120031299. The next prime is 22120031341. The reversal of 22120031322 is 22313002122.

It can be written as a sum of positive squares in 2 ways, for example, as 12011940801 + 10108090521 = 109599^2 + 100539^2 .

It is a super-2 number, since 2×221200313222 (a number of 21 digits) contains 22 as substring.

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 = 22120031295 and 22120031304.

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 11 ways as a sum of consecutive naturals, for example, 140697 + ... + 253052.

Almost surely, 222120031322 is an apocalyptic number.

22120031322 is an abundant number, since it is smaller than the sum of its proper divisors (25822181178).

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

22120031322 is a wasteful number, since it uses less digits than its factorization.

22120031322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396878 (or 396875 counting only the distinct ones).

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

Adding to 22120031322 its reverse (22313002122), we get a palindrome (44433033444).

The spelling of 22120031322 in words is "twenty-two billion, one hundred twenty million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 3121 6242 9363 18726 28089 56178 393749 787498 1181247 2362494 3543741 7087482 1228890629 2457781258 3686671887 7373343774 11060015661 22120031322