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213411340324 = 22721326442801
BaseRepresentation
bin1100011011000001001…
…1101010000000100100
3202101212000002100210201
43012300103222000210
511444031300342244
6242012333400244
721263350314400
oct3066023520044
9671760070721
10213411340324
1182564157736
123543b039084
13171809a3100
14a487324100
155840a79ad4
hex31b04ea024

213411340324 has 54 divisors (see below), whose sum is σ = 470434073634. Its totient is φ = 84426451200.

The previous prime is 213411340313. The next prime is 213411340327. The reversal of 213411340324 is 423043114312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10695282724 + 202716057600 = 103418^2 + 450240^2 .

It is a super-2 number, since 2×2134113403242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 213411340292 and 213411340301.

It is not an unprimeable number, because it can be changed into a prime (213411340327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3188277 + ... + 3254524.

Almost surely, 2213411340324 is an apocalyptic number.

It is an amenable number.

213411340324 is an abundant number, since it is smaller than the sum of its proper divisors (257022733310).

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

213411340324 is a wasteful number, since it uses less digits than its factorization.

213411340324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442845 (or 6442823 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213411340324 its reverse (423043114312), we get a palindrome (636454454636).

The spelling of 213411340324 in words is "two hundred thirteen billion, four hundred eleven million, three hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 6442801 12885602 25771204 45099607 83756413 90199214 167512826 180398428 315697249 335025652 586294891 631394498 1088833369 1172589782 1262788996 2177666738 2345179564 4104064237 4355333476 7621833583 8208128474 15243667166 16416256948 30487334332 53352835081 106705670162 213411340324