Search a number
-
+
212441311300123 = 6110793799734841
BaseRepresentation
bin110000010011011011011000…
…111001010100101000011011
31000212012012011020210000110101
4300103123120321110220123
5210321114301143100443
62031454105140200231
762514243510435343
oct6023333071245033
91025165136700411
10212441311300123
11617659439937a4
121b9b0671399077
13917018bc32889
143a66300195d23
15198614556384d
hexc136d8e54a1b

212441311300123 has 32 divisors (see below), whose sum is σ = 218399631403968. Its totient is φ = 206571521894400.

The previous prime is 212441311300051. The next prime is 212441311300147. The reversal of 212441311300123 is 321003113144212.

It is a cyclic number.

It is not a de Polignac number, because 212441311300123 - 229 = 212440774429211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212441311300091 and 212441311300100.

It is not an unprimeable number, because it can be changed into a prime (212441311300523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6097434183 + ... + 6097469023.

It is an arithmetic number, because the mean of its divisors is an integer number (6824988481374).

Almost surely, 2212441311300123 is an apocalyptic number.

212441311300123 is a deficient number, since it is larger than the sum of its proper divisors (5958320103845).

212441311300123 is a wasteful number, since it uses less digits than its factorization.

212441311300123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36943.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 212441311300123 its reverse (321003113144212), we get a palindrome (533444424444335).

The spelling of 212441311300123 in words is "two hundred twelve trillion, four hundred forty-one billion, three hundred eleven million, three hundred thousand, one hundred twenty-three".

Divisors: 1 61 107 937 997 6527 34841 57157 60817 100259 106679 934189 2125301 3727987 6115799 6507419 32646017 34736477 56985529 99958223 227407207 1991407037 2118925097 3493123819 3716803039 6097451603 32548078949 213080552959 226724985379 1985432815889 3482644447543 212441311300123