Search a number
-
+
213200121311220 = 223519308360660931
BaseRepresentation
bin110000011110011110000101…
…011111110010111111110100
31000221212201210000200112001110
4300132132011133302333310
5210421032322023424340
62033234441132155020
762623125520215231
oct6036360537627764
91027781700615043
10213200121311220
1161a2873340114a
121bab3741308a70
1391c68ba42c144
143a90d25ca8788
15199ac5765e680
hexc1e7857f2ff4

213200121311220 has 96 divisors (see below), whose sum is σ = 628583136007680. Its totient is φ = 53843612042880.

The previous prime is 213200121311183. The next prime is 213200121311257. The reversal of 213200121311220 is 22113121002312.

It is an interprime number because it is at equal distance from previous prime (213200121311183) and next prime (213200121311257).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26815846 + ... + 33845085.

It is an arithmetic number, because the mean of its divisors is an integer number (6547741000080).

Almost surely, 2213200121311220 is an apocalyptic number.

213200121311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213200121311220 is an abundant number, since it is smaller than the sum of its proper divisors (415383014696460).

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

213200121311220 is a wasteful number, since it uses less digits than its factorization.

213200121311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60664045 (or 60664043 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 213200121311220 its reverse (22113121002312), we get a palindrome (235313242313532).

The spelling of 213200121311220 in words is "two hundred thirteen trillion, two hundred billion, one hundred twenty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3083 6166 9249 12332 15415 18498 30830 36996 46245 58577 61660 92490 117154 175731 184980 234308 292885 351462 585770 702924 878655 1171540 1757310 3514620 60660931 121321862 181982793 242643724 303304655 363965586 606609310 727931172 909913965 1152557689 1213218620 1819827930 2305115378 3457673067 3639655860 4610230756 5762788445 6915346134 11525576890 13830692268 17288365335 23051153780 34576730670 69153461340 187017650273 374035300546 561052950819 748070601092 935088251365 1122105901638 1870176502730 2244211803276 2805264754095 3553335355187 3740353005460 5610529508190 7106670710374 10660006065561 11221059016380 14213341420748 17766676775935 21320012131122 35533353551870 42640024262244 53300030327805 71066707103740 106600060655610 213200121311220