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213422132404 = 221323296153331
BaseRepresentation
bin1100011011000011110…
…0110100110010110100
3202101212202101122202101
43012300330310302310
511444042031214104
6242013400551444
721263541123235
oct3066074646264
9671782348671
10213422132404
118256a258a08
1235442782584
1317182cb1360
14a48893308c
1558419ac5a4
hex31b0f34cb4

213422132404 has 48 divisors (see below), whose sum is σ = 434179105920. Its totient is φ = 90970830720.

The previous prime is 213422132353. The next prime is 213422132449. The reversal of 213422132404 is 404231224312.

213422132404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3041982 + ... + 3111349.

It is an arithmetic number, because the mean of its divisors is an integer number (9045398040).

Almost surely, 2213422132404 is an apocalyptic number.

It is an amenable number.

213422132404 is an abundant number, since it is smaller than the sum of its proper divisors (220756973516).

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

213422132404 is a wasteful number, since it uses less digits than its factorization.

213422132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153400 (or 6153398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213422132404 its reverse (404231224312), we get a palindrome (617653356716).

The spelling of 213422132404 in words is "two hundred thirteen billion, four hundred twenty-two million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 13 23 26 29 46 52 58 92 116 299 377 598 667 754 1196 1334 1508 2668 8671 17342 34684 6153331 12306662 24613324 79993303 141526613 159986606 178446599 283053226 319973212 356893198 566106452 713786396 1839845969 2319805787 3679691938 4104271777 4639611574 7359383876 8208543554 9279223148 16417087108 53355533101 106711066202 213422132404