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10042222112 = 251361395737
BaseRepresentation
bin10010101101001000…
…00010011000100000
3221220212012201222022
421112210002120200
5131031302101422
64340251401012
7503566323326
oct112644023040
927825181868
1010042222112
11429363311a
121b43153168
13c40681580
146b39d3d16
153db94d342
hex256902620

10042222112 has 48 divisors (see below), whose sum is σ = 21640536792. Its totient is φ = 4558878720.

The previous prime is 10042222097. The next prime is 10042222121. The reversal of 10042222112 is 21122224001.

It can be written as a sum of positive squares in 4 ways, for example, as 3585135376 + 6457086736 = 59876^2 + 80356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172493 + ... + 223244.

Almost surely, 210042222112 is an apocalyptic number.

It is an amenable number.

10042222112 is an abundant number, since it is smaller than the sum of its proper divisors (11598314680).

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

10042222112 is a wasteful number, since it uses less digits than its factorization.

10042222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395821 (or 395813 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10042222112 its reverse (21122224001), we get a palindrome (31164446113).

The spelling of 10042222112 in words is "ten billion, forty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 395737 791474 1582948 3165896 5144581 6331792 10289162 12663584 20578324 24139957 41156648 48279914 82313296 96559828 164626592 193119656 313819441 386239312 627638882 772478624 1255277764 2510555528 5021111056 10042222112