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1000221112011 = 311148720383141
BaseRepresentation
bin11101000111000011101…
…00101111011011001011
310112121202010111002010210
432203201310233123023
5112341423101041021
62043254545412203
7132156261113322
oct16434164573313
93477663432123
101000221112011
113562118186a0
12141a2403a063
1373422035454
14365a79630b9
151b040d90e76
hexe8e1d2f6cb

1000221112011 has 16 divisors (see below), whose sum is σ = 1455845534208. Its totient is φ = 605786920800.

The previous prime is 1000221111943. The next prime is 1000221112063. The reversal of 1000221112011 is 1102111220001.

It is not a de Polignac number, because 1000221112011 - 211 = 1000221109963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000221112811) 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 15 ways as a sum of consecutive naturals, for example, 10142500 + ... + 10240641.

It is an arithmetic number, because the mean of its divisors is an integer number (90990345888).

Almost surely, 21000221112011 is an apocalyptic number.

1000221112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000221112011 is a deficient number, since it is larger than the sum of its proper divisors (455624422197).

1000221112011 is a wasteful number, since it uses less digits than its factorization.

1000221112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384642.

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

Adding to 1000221112011 its reverse (1102111220001), we get a palindrome (2102332332012).

The spelling of 1000221112011 in words is "one trillion, two hundred twenty-one million, one hundred twelve thousand, eleven".

Divisors: 1 3 11 33 1487 4461 16357 49071 20383141 61149423 224214551 672643653 30309730667 90929192001 333407037337 1000221112011