Search a number
-
+
212212211102121 = 31514913083309469
BaseRepresentation
bin110000010000000110000001…
…011101011011000110101001
31000211101021210212100002212210
4300100012001131123012221
5210303341102020231441
62031200535515555333
762461553264045046
oct6020060135330651
91024337725302783
10212212211102121
116168776989608a
121b97419415bb49
1391546aaaa5b39
143a591a93741cd
1519801d74a3616
hexc1018175b1a9

212212211102121 has 32 divisors (see below), whose sum is σ = 285497037665280. Its totient is φ = 140205715272000.

The previous prime is 212212211102093. The next prime is 212212211102149. The reversal of 212212211102121 is 121201112212212.

It is an interprime number because it is at equal distance from previous prime (212212211102093) and next prime (212212211102149).

It is not a de Polignac number, because 212212211102121 - 217 = 212212210971049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212212211100121) 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 31 ways as a sum of consecutive naturals, for example, 685575375 + ... + 685884843.

It is an arithmetic number, because the mean of its divisors is an integer number (8921782427040).

Almost surely, 2212212211102121 is an apocalyptic number.

It is an amenable number.

212212211102121 is a deficient number, since it is larger than the sum of its proper divisors (73284826563159).

212212211102121 is a wasteful number, since it uses less digits than its factorization.

212212211102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313197.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212212211102121 its reverse (121201112212212), we get a palindrome (333413323314333).

The spelling of 212212211102121 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 151 453 491 1473 3083 9249 74141 222423 309469 465533 928407 1396599 1513753 4541259 46729819 140189457 151949279 228576703 455847837 685730109 954092927 2862278781 22944341129 68833023387 144068031977 432204095931 468459627157 1405378881471 70737403700707 212212211102121