Search a number
-
+
213104004211314 = 23231537205789011
BaseRepresentation
bin110000011101000100100100…
…011110001010001001110010
31000221112112200110101221101100
4300131010210132022021302
5210412444000034230224
62033122343353145230
762613153612311166
oct6035044436121162
91027475613357340
10213104004211314
11619a099a849397
121ba98b979bb216
1391ba8101c1228
143a8a4087d8ca6
1519984ce268ac9
hexc1d12478a272

213104004211314 has 48 divisors (see below), whose sum is σ = 485612533096704. Its totient is φ = 67446185133600.

The previous prime is 213104004211247. The next prime is 213104004211477. The reversal of 213104004211314 is 413112400401312.

It is a happy number.

213104004211314 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 400 + 4 + 211 + 31 + 4 = 666.

It is a super-2 number, since 2×2131040042113142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3602864932 + ... + 3602924079.

It is an arithmetic number, because the mean of its divisors is an integer number (10116927772848).

Almost surely, 2213104004211314 is an apocalyptic number.

213104004211314 is an abundant number, since it is smaller than the sum of its proper divisors (272508528885390).

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

213104004211314 is a wasteful number, since it uses less digits than its factorization.

213104004211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205789103 (or 7205789100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 213104004211314 its reverse (413112400401312), we get a palindrome (626216404612626).

The spelling of 213104004211314 in words is "two hundred thirteen trillion, one hundred four billion, four million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1643 3286 4929 9858 14787 29574 7205789011 14411578022 21617367033 43234734066 64852101099 129704202198 223379459341 381906817583 446758918682 670138378023 763813635166 1145720452749 1340276756046 2010415134069 2291440905498 3437161358247 4020830268138 6874322716494 11839111345073 23678222690146 35517334035219 71034668070438 106552002105657 213104004211314