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10022011120011 = 3111795211876331
BaseRepresentation
bin1001000111010110111001…
…1010011010100110001011
31022111002120012001000002110
42101311232122122212023
52303200034321320021
633152014235433403
72053031530645662
oct221655632324613
938432505030073
1010022011120011
1132143470052a0
12115a3bb2b5863
135790c13a1aa7
142690d4565dd9
15125a6751b476
hex91d6e69a98b

10022011120011 has 32 divisors (see below), whose sum is σ = 15436598374656. Its totient is φ = 5716051712000.

The previous prime is 10022011120001. The next prime is 10022011120019. The reversal of 10022011120011 is 11002111022001.

It is not a de Polignac number, because 10022011120011 - 25 = 10022011119979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022011120019) 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 31 ways as a sum of consecutive naturals, for example, 4403116 + ... + 6279446.

It is an arithmetic number, because the mean of its divisors is an integer number (482393699208).

Almost surely, 210022011120011 is an apocalyptic number.

10022011120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022011120011 is a deficient number, since it is larger than the sum of its proper divisors (5414587254645).

10022011120011 is a wasteful number, since it uses less digits than its factorization.

10022011120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885883.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10022011120011 its reverse (11002111022001), we get a palindrome (21024122142012).

It can be divided in two parts, 1002201 and 1120011, that added together give a palindrome (2122212).

The spelling of 10022011120011 in words is "ten trillion, twenty-two billion, eleven million, one hundred twenty thousand, eleven".

Divisors: 1 3 11 17 33 51 187 561 9521 28563 104731 161857 314193 485571 1780427 1876331 5341281 5628993 20639641 31897627 61918923 95692881 350873897 1052621691 17864547451 53593642353 196510021961 303697306667 589530065883 911091920001 3340670373337 10022011120011