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1223110002101 = 13296153185633
BaseRepresentation
bin10001110011000111000…
…010011000010110110101
311022221001122020212002012
4101303013002120112311
5130014412130031401
62333520004054005
7154236543323321
oct21630702302665
94287048225065
101223110002101
11431799789789
12179069094305
138b4533b0170
14432ad88c981
1521c389c88bb
hex11cc70985b5

1223110002101 has 16 divisors (see below), whose sum is σ = 1384953909360. Its totient is φ = 1072222341120.

The previous prime is 1223110002083. The next prime is 1223110002109. The reversal of 1223110002101 is 1012000113221.

It can be written as a sum of positive squares in 8 ways, for example, as 21348132100 + 1201761870001 = 146110^2 + 1096249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1223110002101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223110002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26569820 + ... + 26615813.

It is an arithmetic number, because the mean of its divisors is an integer number (86559619335).

Almost surely, 21223110002101 is an apocalyptic number.

It is an amenable number.

1223110002101 is a deficient number, since it is larger than the sum of its proper divisors (161843907259).

1223110002101 is a wasteful number, since it uses less digits than its factorization.

1223110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53185736.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1223110002101 its reverse (1012000113221), we get a palindrome (2235110115322).

The spelling of 1223110002101 in words is "one trillion, two hundred twenty-three billion, one hundred ten million, two thousand, one hundred one".

Divisors: 1 13 29 61 377 793 1769 22997 53185633 691413229 1542383357 3244323613 20050983641 42176206969 94085384777 1223110002101