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1000122112211 = 17731376918513
BaseRepresentation
bin11101000110110111110…
…11000101100011010011
310112121111020012100221112
432203123323011203103
5112341222230042321
62043241051443535
7132153646455215
oct16433373054323
93477436170845
101000122112211
1135617094a682
121419b6a565ab
1373407681ca1
14365987525b5
151b037337a5b
hexe8dbec58d3

1000122112211 has 32 divisors (see below), whose sum is σ = 1082986521408. Its totient is φ = 920178524160.

The previous prime is 1000122112133. The next prime is 1000122112237. The reversal of 1000122112211 is 1122112210001.

It is not a de Polignac number, because 1000122112211 - 210 = 1000122111187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000122112261) 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, 117477491 + ... + 117486003.

It is an arithmetic number, because the mean of its divisors is an integer number (33843328794).

Almost surely, 21000122112211 is an apocalyptic number.

1000122112211 is a deficient number, since it is larger than the sum of its proper divisors (82864409197).

1000122112211 is a wasteful number, since it uses less digits than its factorization.

1000122112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1000122112211 its reverse (1122112210001), we get a palindrome (2122234322212).

The spelling of 1000122112211 in words is "one trillion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 17 73 137 691 1241 2329 8513 10001 11747 50443 94667 144721 170017 621449 857531 1166281 1609339 5882483 6910691 10564633 19826777 85138513 100002211 117481747 429421259 805900171 1447354721 7300161403 13700302907 58830712483 1000122112211