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212231242132212 = 223611765916418449
BaseRepresentation
bin110000010000010111101111…
…110011000010101011110100
31000211110002221011120121022010
4300100113233303002223310
5210304144040441212322
62031213404153004220
762463126012116562
oct6020275763025364
91024402834517263
10212231242132212
1161694845365726
121b977a056b3670
1391564217b93a4
143a5a092aa8a32
15198094d11c20c
hexc105efcc2af4

212231242132212 has 48 divisors (see below), whose sum is σ = 503352899672000. Its totient is φ = 69580069148160.

The previous prime is 212231242132211. The next prime is 212231242132291.

It is a happy number.

212231242132212 is nontrivially palindromic in base 10.

212231242132212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212231242132212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212231242132211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4717164 + ... + 21135612.

Almost surely, 2212231242132212 is an apocalyptic number.

It is an amenable number.

212231242132212 is an abundant number, since it is smaller than the sum of its proper divisors (291121657539788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212231242132212 is a wasteful number, since it uses less digits than its factorization.

212231242132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436176 (or 16436174 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 212231242132212 in words is "two hundred twelve trillion, two hundred thirty-one billion, two hundred forty-two million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 17659 35318 52977 70636 105954 211908 1077199 2154398 3231597 4308796 6463194 12926388 16418449 32836898 49255347 65673796 98510694 197021388 1001525389 2003050778 3004576167 4006101556 6009152334 12018304668 289933390891 579866781782 869800172673 1159733563564 1739600345346 3479200690692 17685936844351 35371873688702 53057810533053 70743747377404 106115621066106 212231242132212