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212222100122201 = 13210122954293401
BaseRepresentation
bin110000010000001111001110…
…111001000010101001011001
31000211102020100001021101011202
4300100033032321002221121
5210304021330112402301
62031205253100003545
762462353323244301
oct6020171671025131
91024366301241152
10212222100122201
116169098399a254
121b976093b305b5
1391555c57a6c00
143a59866888601
1519805b573d66b
hexc103cee42a59

212222100122201 has 24 divisors (see below), whose sum is σ = 233091347598360. Its totient is φ = 193110765120000.

The previous prime is 212222100122191. The next prime is 212222100122213. The reversal of 212222100122201 is 102221001222212.

It can be written as a sum of positive squares in 12 ways, for example, as 3685539890176 + 208536560232025 = 1919776^2 + 14440795^2 .

It is a de Polignac number, because none of the positive numbers 2k-212222100122201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212222100128201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23237900 + ... + 31055501.

It is an arithmetic number, because the mean of its divisors is an integer number (9712139483265).

Almost surely, 2212222100122201 is an apocalyptic number.

It is an amenable number.

212222100122201 is a deficient number, since it is larger than the sum of its proper divisors (20869247476159).

212222100122201 is a wasteful number, since it uses less digits than its factorization.

212222100122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54293757 (or 54293744 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212222100122201 its reverse (102221001222212), we get a palindrome (314443101344413).

The spelling of 212222100122201 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 13 101 169 229 1313 2977 17069 23129 38701 300677 3908801 54293401 705814213 5483633501 9175584769 12433188829 71287235513 161631454777 926734061669 1255752071729 2101208912101 16324776932477 212222100122201