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420311122 = 272111920521
BaseRepresentation
bin11001000011010…
…111000001010010
31002021220000110121
4121003113001102
51330044423442
6105412420454
713262404600
oct3103270122
91067800417
10420311122
111a6288a70
12b891772a
136910350a
143db70870
1526d76967
hex190d7052

420311122 has 48 divisors (see below), whose sum is σ = 842222880. Its totient is φ = 155131200.

The previous prime is 420311117. The next prime is 420311149. The reversal of 420311122 is 221113024.

It is a super-2 number, since 2×4203111222 = 353322878553797768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420311096 and 420311105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10222 + ... + 30742.

It is an arithmetic number, because the mean of its divisors is an integer number (17546310).

Almost surely, 2420311122 is an apocalyptic number.

420311122 is an abundant number, since it is smaller than the sum of its proper divisors (421911758).

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

420311122 is a wasteful number, since it uses less digits than its factorization.

420311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20567 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 420311122 is about 20501.4907262862. The cubic root of 420311122 is about 749.0721099817.

Adding to 420311122 its reverse (221113024), we get a palindrome (641424146).

The spelling of 420311122 in words is "four hundred twenty million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 133 154 209 266 418 539 931 1078 1463 1862 2926 10241 20482 20521 41042 143647 225731 287294 389899 451462 779798 1005529 1580117 2011058 2729293 3160234 4288889 5458586 8577778 11060819 19105051 22121638 30022223 38210102 60044446 210155561 420311122