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10022221102112 = 25615134334581
BaseRepresentation
bin1001000111010111101011…
…1011011011110000100000
31022111010002211011012101022
42101311322323123300200
52303201002100231422
633152051140225012
72053036660526462
oct221657273336040
938433084135338
1010022221102112
113214444595a1a
12115a45969b168
13579125a4275b
142691143c6132
15125a7ab98342
hex91d7aedbc20

10022221102112 has 24 divisors (see below), whose sum is σ = 20054710877292. Its totient is φ = 4928961196800.

The previous prime is 10022221102111. The next prime is 10022221102151. The reversal of 10022221102112 is 21120112222001.

It can be written as a sum of positive squares in 2 ways, for example, as 9407445928336 + 614775173776 = 3067156^2 + 784076^2 .

It is not an unprimeable number, because it can be changed into a prime (10022221102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2567165339 + ... + 2567169242.

Almost surely, 210022221102112 is an apocalyptic number.

It is an amenable number.

10022221102112 is an abundant number, since it is smaller than the sum of its proper divisors (10032489775180).

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

10022221102112 is an equidigital number, since it uses as much as digits as its factorization.

10022221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134334652 (or 5134334644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10022221102112 its reverse (21120112222001), we get a palindrome (31142333324113).

The spelling of 10022221102112 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 5134334581 10268669162 20537338324 41074676648 82149353296 164298706592 313194409441 626388818882 1252777637764 2505555275528 5011110551056 10022221102112