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1000110022011 = 32111123335779
BaseRepresentation
bin11101000110110110011…
…00111101110101111011
310112121110101110010022100
432203123030331311323
5112341211131201021
62043235540354443
7132153441631632
oct16433314756573
93477411403270
101000110022011
11356165042081
121419b29a5a23
137340500ac19
1436596cc6519
151b03624a626
hexe8db33dd7b

1000110022011 has 6 divisors (see below), whose sum is σ = 1444603365140. Its totient is φ = 666740014668.

The previous prime is 1000110021997. The next prime is 1000110022069. The reversal of 1000110022011 is 1102200110001.

It is a happy number.

It is not a de Polignac number, because 1000110022011 - 25 = 1000110021979 is a prime.

It is a super-2 number, since 2×10001100220112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111123335779 = 1000110022011 / (1 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 2 + 2 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000110021984 and 1000110022002.

It is not an unprimeable number, because it can be changed into a prime (1000110022711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55561667881 + ... + 55561667898.

Almost surely, 21000110022011 is an apocalyptic number.

1000110022011 is a deficient number, since it is larger than the sum of its proper divisors (444493343129).

1000110022011 is a wasteful number, since it uses less digits than its factorization.

1000110022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111123335785 (or 111123335782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000110022011 its reverse (1102200110001), we get a palindrome (2102310132012).

The spelling of 1000110022011 in words is "one trillion, one hundred ten million, twenty-two thousand, eleven".

Divisors: 1 3 9 111123335779 333370007337 1000110022011