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12422085011 = 7217291274049
BaseRepresentation
bin10111001000110100…
…11111100110010011
31012001201100022010122
423210122133212103
5200420023210021
65412344220455
7616554660200
oct134432374623
935051308118
1012422085011
1152a4a41366
1224a816a72b
13122c73957b
1485bad0ca7
154ca847bab
hex2e469f993

12422085011 has 48 divisors (see below), whose sum is σ = 15956352000. Its totient is φ = 9597063168.

The previous prime is 12422084963. The next prime is 12422085037. The reversal of 12422085011 is 11058022421.

It is not a de Polignac number, because 12422085011 - 214 = 12422068627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12422085311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3065915 + ... + 3069963.

It is an arithmetic number, because the mean of its divisors is an integer number (332424000).

Almost surely, 212422085011 is an apocalyptic number.

12422085011 is a deficient number, since it is larger than the sum of its proper divisors (3534266989).

12422085011 is a wasteful number, since it uses less digits than its factorization.

12422085011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 12422085011 in words is "twelve billion, four hundred twenty-two million, eighty-five thousand, eleven".

Divisors: 1 7 17 29 49 119 127 203 493 833 889 1421 2159 3451 3683 4049 6223 15113 24157 25781 28343 62611 68833 105791 117421 180467 198401 438277 481831 514223 821947 1996157 3067939 3372817 3599561 5753629 8741791 13973099 14912467 25196927 61192537 97811693 104387269 253511939 428347759 730710883 1774583573 12422085011