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213421204122 = 2373103703209
BaseRepresentation
bin1100011011000011100…
…1010010001010011010
3202101212200122111101120
43012300321102022122
511444041312012442
6242013325030110
721263530206000
oct3066071221232
9671780574346
10213421204122
1182569784535
12354423b5336
1317182a47989
14a488770a70
1558418774ec
hex31b0e5229a

213421204122 has 32 divisors (see below), whose sum is σ = 497775408000. Its totient is φ = 60977486304.

The previous prime is 213421204079. The next prime is 213421204127. The reversal of 213421204122 is 221402124312.

It is a super-3 number, since 3×2134212041223 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 213421204092 and 213421204101.

It is not an unprimeable number, because it can be changed into a prime (213421204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51849547 + ... + 51853662.

It is an arithmetic number, because the mean of its divisors is an integer number (15555481500).

Almost surely, 2213421204122 is an apocalyptic number.

213421204122 is an abundant number, since it is smaller than the sum of its proper divisors (284354203878).

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

213421204122 is a wasteful number, since it uses less digits than its factorization.

213421204122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103703235 (or 103703221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213421204122 its reverse (221402124312), we get a palindrome (434823328434).

The spelling of 213421204122 in words is "two hundred thirteen billion, four hundred twenty-one million, two hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 103703209 207406418 311109627 622219254 725922463 1451844926 2177767389 4355534778 5081457241 10162914482 15244371723 30488743446 35570200687 71140401374 106710602061 213421204122