Search a number
-
+
213043103303310 = 23357138738125223
BaseRepresentation
bin110000011100001011110110…
…011111101000011010001110
31000221022201111011121021012000
4300130023312133220122032
5210410444233421201220
62033034352303253130
762605566463163430
oct6034136637503216
91027281434537160
10213043103303310
1161978088879865
121ba892202aa1a6
1391b4b55c102a7
143a874ac430650
151996b178aa390
hexc1c2f67e868e

213043103303310 has 128 divisors (see below), whose sum is σ = 649321100789760. Its totient is φ = 48692050380288.

The previous prime is 213043103303297. The next prime is 213043103303441. The reversal of 213043103303310 is 13303301340312.

213043103303310 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 3 + 10 + 330 + 3 + 310 = 666.

It is a super-2 number, since 2×2130431033033102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22157359 + ... + 30282581.

It is an arithmetic number, because the mean of its divisors is an integer number (5072821099920).

Almost surely, 2213043103303310 is an apocalyptic number.

213043103303310 is an abundant number, since it is smaller than the sum of its proper divisors (436277997486450).

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

213043103303310 is a wasteful number, since it uses less digits than its factorization.

213043103303310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139119 (or 8139113 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213043103303310 its reverse (13303301340312), we get a palindrome (226346404643622).

The spelling of 213043103303310 in words is "two hundred thirteen trillion, forty-three billion, one hundred three million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 13873 27746 41619 69365 83238 97111 124857 138730 194222 208095 249714 291333 374571 416190 485555 582666 624285 749142 873999 971110 1248570 1456665 1747998 1872855 2621997 2913330 3745710 4369995 5243994 8125223 8739990 13109985 16250446 24375669 26219970 40626115 48751338 56876561 73127007 81252230 113753122 121878345 146254014 170629683 219381021 243756690 284382805 341259366 365635035 438762042 511889049 568765610 731270070 853148415 1023778098 1096905105 1535667147 1706296830 2193810210 2559445245 3071334294 5118890490 7678335735 15356671470 112721218679 225442437358 338163656037 563606093395 676327312074 789048530753 1014490968111 1127212186790 1578097061506 1690818280185 2028981936222 2367145592259 3043472904333 3381636560370 3945242653765 4734291184518 5072454840555 6086945808666 7101436776777 7890485307530 10144909681110 11835727961295 14202873553554 15217364521665 21304310330331 23671455922590 30434729043330 35507183883885 42608620660662 71014367767770 106521551651655 213043103303310