Search a number
-
+
213400240420 = 22529367931449
BaseRepresentation
bin1100011010111110100…
…1010100000100100100
3202101211020012102121011
43012233221110010210
511444020430143140
6242011255432004
721263154054223
oct3065751240444
9671736172534
10213400240420
1182558966164
1235437385604
131717b5b7a13
14a485a74cba
15583ead5cea
hex31afa54124

213400240420 has 24 divisors (see below), whose sum is σ = 463593627000. Its totient is φ = 82416644352.

The previous prime is 213400240379. The next prime is 213400240421. The reversal of 213400240420 is 24042004312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91509880036 + 121890360384 = 302506^2 + 349128^2 .

It is a super-2 number, since 2×2134002404202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213400240391 and 213400240400.

It is not an unprimeable number, because it can be changed into a prime (213400240421) 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 7 ways as a sum of consecutive naturals, for example, 183965145 + ... + 183966304.

It is an arithmetic number, because the mean of its divisors is an integer number (19316401125).

Almost surely, 2213400240420 is an apocalyptic number.

213400240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400240420 is an abundant number, since it is smaller than the sum of its proper divisors (250193386580).

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

213400240420 is a wasteful number, since it uses less digits than its factorization.

213400240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367931487 (or 367931485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 213400240420 its reverse (24042004312), we get a palindrome (237442244732).

The spelling of 213400240420 in words is "two hundred thirteen billion, four hundred million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 367931449 735862898 1471725796 1839657245 3679314490 7358628980 10670012021 21340024042 42680048084 53350060105 106700120210 213400240420