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212110002101101 = 1323706733385973
BaseRepresentation
bin110000001110100110110101…
…010101000001101101101101
31000211000111222202001212220111
4300032212311111001231231
5210300202241014213401
62031041553442220021
762451304404631246
oct6016466525015555
91024014882055814
10212110002101101
116164838a542905
121b95840a654611
139147b6c732b00
143a54270bb1ccd
15197c70436ee51
hexc0e9b5541b6d

212110002101101 has 12 divisors (see below), whose sum is σ = 229681932345108. Its totient is φ = 195793262056704.

The previous prime is 212110002101089. The next prime is 212110002101117. The reversal of 212110002101101 is 101101200011212.

It is a happy number.

212110002101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 150322557572100 + 61787444529001 = 12260610^2 + 7860499^2 .

It is not a de Polignac number, because 212110002101101 - 211 = 212110002099053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110002102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60950751 + ... + 64336723.

It is an arithmetic number, because the mean of its divisors is an integer number (19140161028759).

Almost surely, 2212110002101101 is an apocalyptic number.

It is an amenable number.

212110002101101 is a deficient number, since it is larger than the sum of its proper divisors (17571930244007).

212110002101101 is a wasteful number, since it uses less digits than its factorization.

212110002101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756672 (or 3756659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212110002101101 its reverse (101101200011212), we get a palindrome (313211202112313).

The spelling of 212110002101101 in words is "two hundred twelve trillion, one hundred ten billion, two million, one hundred one thousand, one hundred one".

Divisors: 1 13 169 370673 3385973 4818749 44017649 62643737 572229437 1255088769829 16316154007777 212110002101101