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111111222100001 = 1016637165754273
BaseRepresentation
bin11001010000111000011000…
…111011001000000000100001
3112120102010111002222022000012
4121100320120323020000201
5104030421240324200001
61032151442445534305
732255343443521034
oct3120703073100041
9476363432868005
10111111222100001
1132449006236aa2
1210566123574395
1349cc987cc8596
141d61b519b101b
15cca3d04c52bb
hex650e18ec8021

111111222100001 has 8 divisors (see below), whose sum is σ = 112228240822824. Its totient is φ = 109994534899200.

The previous prime is 111111222099991. The next prime is 111111222100013. The reversal of 111111222100001 is 100001222111111.

It can be written as a sum of positive squares in 4 ways, for example, as 4339093136401 + 106772128963600 = 2083049^2 + 10333060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111111222100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111222100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82206800 + ... + 83547473.

It is an arithmetic number, because the mean of its divisors is an integer number (14028530102853).

Almost surely, 2111111222100001 is an apocalyptic number.

It is an amenable number.

111111222100001 is a deficient number, since it is larger than the sum of its proper divisors (1117018722823).

111111222100001 is a wasteful number, since it uses less digits than its factorization.

111111222100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165761011.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111111222100001 its reverse (100001222111111), we get a palindrome (211112444211112).

The spelling of 111111222100001 in words is "one hundred eleven trillion, one hundred eleven billion, two hundred twenty-two million, one hundred thousand, one".

Divisors: 1 101 6637 670337 165754273 16741181573 1100111109901 111111222100001