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10221112122122 = 21131101148385821
BaseRepresentation
bin1001010010111100100111…
…0000011101101100001010
31100012010110212200212022202
42110233021300131230022
52314430314200401442
633423303013120202
72103310454356616
oct224571160355412
940163425625282
1010221112122122
113290827369030
121190b05929062
13591b01388745
142749c10ac346
1512ad1bab0c32
hex94bc9c1db0a

10221112122122 has 32 divisors (see below), whose sum is σ = 17435927628288. Its totient is φ = 4451574600000.

The previous prime is 10221112122121. The next prime is 10221112122131. The reversal of 10221112122122 is 22122121112201.

It is a super-2 number, since 2×102211121221222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221112122094 and 10221112122103.

It is not an unprimeable number, because it can be changed into a prime (10221112122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74124029 + ... + 74261792.

It is an arithmetic number, because the mean of its divisors is an integer number (544872738384).

Almost surely, 210221112122122 is an apocalyptic number.

10221112122122 is a deficient number, since it is larger than the sum of its proper divisors (7214815506166).

10221112122122 is a wasteful number, since it uses less digits than its factorization.

10221112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148385966.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10221112122122 its reverse (22122121112201), we get a palindrome (32343233234323).

The spelling of 10221112122122 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 31 62 101 202 341 682 1111 2222 3131 6262 34441 68882 148385821 296771642 1632244031 3264488062 4599960451 9199920902 14986967921 29973935842 50599564961 101199129922 164856647131 329713294262 464596005551 929192011102 5110556061061 10221112122122