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212212303232133 = 35322328121299149
BaseRepresentation
bin110000010000000110000110…
…111100110111110010000101
31000211101022001021200210111110
4300100012012330313302011
5210303341244111412013
62031200553010355233
762461555463121501
oct6020060674676205
91024338037623443
10212212303232133
11616878068a1796
121b9741bab8bb19
1391546c3bc2439
143a591b76b7301
1519801e06012c3
hexc10186f37c85

212212303232133 has 32 divisors (see below), whose sum is σ = 290611736755200. Its totient is φ = 137691324126720.

The previous prime is 212212303232119. The next prime is 212212303232197. The reversal of 212212303232133 is 331232303212212.

It is not a de Polignac number, because 212212303232133 - 217 = 212212303101061 is a prime.

It is a super-2 number, since 2×2122123032321332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212212303232133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212303232113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686158 + ... + 20612991.

It is an arithmetic number, because the mean of its divisors is an integer number (9081616773600).

Almost surely, 2212212303232133 is an apocalyptic number.

It is an amenable number.

212212303232133 is a deficient number, since it is larger than the sum of its proper divisors (78399433523067).

212212303232133 is a wasteful number, since it uses less digits than its factorization.

212212303232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21299709.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 212212303232133 its reverse (331232303212212), we get a palindrome (543444606444345).

The spelling of 212212303232133 in words is "two hundred twelve trillion, two hundred twelve billion, three hundred three million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 53 159 223 281 669 843 11819 14893 35457 44679 62663 187989 3321139 9963417 21299149 63897447 1128854897 3386564691 4749710227 5985060869 14249130681 17955182607 251734642031 317208226057 755203926093 951624678171 1334668573787 4004005721361 70737434410711 212212303232133