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213284812860 = 2232571131497997
BaseRepresentation
bin1100011010100011000…
…0111111100000111100
3202101112012000002202100
43012220300333200330
511443301403002420
6241552013425100
721260252665560
oct3065060774074
9671465002670
10213284812860
11824a9797789
123540479b190
13171607020a2
14a4745c96a0
1558348d5190
hex31a8c3f83c

213284812860 has 144 divisors (see below), whose sum is σ = 745931100096. Its totient is φ = 48319358976.

The previous prime is 213284812849. The next prime is 213284812889. The reversal of 213284812860 is 68218482312.

213284812860 is a `hidden beast` number, since 2 + 1 + 328 + 48 + 1 + 286 + 0 = 666.

213284812860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132848128602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606619 + ... + 891378.

It is an arithmetic number, because the mean of its divisors is an integer number (5180077084).

Almost surely, 2213284812860 is an apocalyptic number.

213284812860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213284812860 is an abundant number, since it is smaller than the sum of its proper divisors (532646287236).

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

213284812860 is a wasteful number, since it uses less digits than its factorization.

213284812860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498132 (or 1498127 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 213284812860 in words is "two hundred thirteen billion, two hundred eighty-four million, eight hundred twelve thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 210 226 252 315 339 420 452 565 630 678 791 1017 1130 1260 1356 1582 1695 2034 2260 2373 3164 3390 3955 4068 4746 5085 6780 7119 7910 9492 10170 11865 14238 15820 20340 23730 28476 35595 47460 71190 142380 1497997 2995994 4493991 5991988 7489985 8987982 10485979 13481973 14979970 17975964 20971958 22469955 26963946 29959940 31457937 41943916 44939910 52429895 53927892 62915874 67409865 89879820 94373811 104859790 125831748 134819730 157289685 169273661 188747622 209719580 269639460 314579370 338547322 377495244 471869055 507820983 629158740 677094644 846368305 943738110 1015641966 1184915627 1523462949 1692736610 1887476220 2031283932 2369831254 2539104915 3046925898 3385473220 3554746881 4739662508 5078209830 5924578135 6093851796 7109493762 7617314745 10156419660 10664240643 11849156270 14218987524 15234629490 17773734405 21328481286 23698312540 30469258980 35547468810 42656962572 53321203215 71094937620 106642406430 213284812860