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213400012410 = 2325131011805873
BaseRepresentation
bin1100011010111110100…
…0011100011001111010
3202101211012202211211100
43012233220130121322
511444020400344120
6242011250512230
721263152114404
oct3065750343172
9671735684740
10213400012410
118255881a922
1235437295676
131717b537cc0
14a485a15b74
15583ea8d490
hex31afa1c67a

213400012410 has 96 divisors (see below), whose sum is σ = 603436408848. Its totient is φ = 52009113600.

The previous prime is 213400012379. The next prime is 213400012481. The reversal of 213400012410 is 14210004312.

213400012410 is a `hidden beast` number, since 21 + 3 + 400 + 0 + 1 + 241 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 159912811881 + 53487200529 = 399891^2 + 231273^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784767 + ... + 1021106.

Almost surely, 2213400012410 is an apocalyptic number.

213400012410 is an abundant number, since it is smaller than the sum of its proper divisors (390036396438).

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

213400012410 is a wasteful number, since it uses less digits than its factorization.

213400012410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806000 (or 1805997 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213400012410 its reverse (14210004312), we get a palindrome (227610016722).

The spelling of 213400012410 in words is "two hundred thirteen billion, four hundred million, twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 11817 13130 19695 23634 39390 59085 118170 1805873 3611746 5417619 9029365 10835238 16252857 18058730 23476349 27088095 32505714 46952698 54176190 70429047 81264285 117381745 140858094 162528570 182393173 211287141 234763490 352145235 364786346 422574282 547179519 704290470 911965865 1056435705 1094359038 1641538557 1823931730 2112871410 2371111249 2735897595 3283077114 4742222498 5471795190 7113333747 8207692785 11855556245 14226667494 16415385570 21340001241 23711112490 35566668735 42680002482 71133337470 106700006205 213400012410