Search a number
-
+
213001402185 = 325111319291691
BaseRepresentation
bin1100011001011111011…
…1110111011101001001
3202100210102201100101200
43012113313313131021
511442211324332220
6241503531134413
721250242021435
oct3062767673511
9670712640350
10213001402185
1182373814090
12353458a4409
1317116a92170
14a448ad39c5
155819aa1890
hex3197df7749

213001402185 has 144 divisors (see below), whose sum is σ = 457783679808. Its totient is φ = 90310982400.

The previous prime is 213001402151. The next prime is 213001402217. The reversal of 213001402185 is 581204100312.

213001402185 is a `hidden beast` number, since 2 + 1 + 300 + 140 + 218 + 5 = 666.

It is not a de Polignac number, because 213001402185 - 29 = 213001401673 is a prime.

It is a super-2 number, since 2×2130014021852 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2277190 + ... + 2368880.

It is an arithmetic number, because the mean of its divisors is an integer number (3179053332).

Almost surely, 2213001402185 is an apocalyptic number.

It is an amenable number.

213001402185 is an abundant number, since it is smaller than the sum of its proper divisors (244782277623).

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

213001402185 is a wasteful number, since it uses less digits than its factorization.

213001402185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91764 (or 91742 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 213001402185 its reverse (581204100312), we get a palindrome (794205502497).

The spelling of 213001402185 in words is "two hundred thirteen billion, one million, four hundred two thousand, one hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 19 33 39 45 55 57 65 95 99 117 143 165 171 195 209 247 285 361 429 495 585 627 715 741 855 1045 1083 1235 1287 1805 1881 2145 2223 2717 3135 3249 3705 3971 4693 5415 6435 8151 9405 11115 11913 13585 14079 16245 19855 23465 24453 35739 40755 42237 51623 59565 70395 91691 122265 154869 178695 211185 258115 275073 458455 464607 774345 825219 1008601 1191983 1375365 1742129 2323035 3025803 3575949 4126095 5043005 5226387 5959915 8710645 9077409 10727847 13111813 15129015 15679161 17879745 19163419 22647677 26131935 33100451 39335439 45387045 53639235 57490257 65559065 67943031 78395805 95817095 99301353 113238385 118006317 165502255 172470771 196677195 203829093 249124447 287451285 297904059 339715155 364104961 430305863 496506765 590031585 747373341 862353855 1019145465 1092314883 1245622235 1290917589 1489520295 1820524805 2151529315 2242120023 3276944649 3736866705 3872752767 4733364493 5461574415 6454587945 11210600115 14200093479 16384723245 19363763835 23666822465 42600280437 71000467395 213001402185