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213001320300 = 22352977319633
BaseRepresentation
bin1100011001011111011…
…1100011011101101100
3202100210102120012001220
43012113313203131230
511442211314222200
6241503525303340
721250241230626
oct3062767433554
9670712505056
10213001320300
118237376860a
1235345864b50
1317116a63b02
14a448ab1c16
155819a874a0
hex3197de376c

213001320300 has 72 divisors (see below), whose sum is σ = 622637346576. Its totient is φ = 56214773760.

The previous prime is 213001320299. The next prime is 213001320307. The reversal of 213001320300 is 3023100312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213001320300.

It is not an unprimeable number, because it can be changed into a prime (213001320307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3630717 + ... + 3688916.

Almost surely, 2213001320300 is an apocalyptic number.

213001320300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001320300 is an abundant number, since it is smaller than the sum of its proper divisors (409636026276).

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

213001320300 is a wasteful number, since it uses less digits than its factorization.

213001320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319747 (or 7319740 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213001320300 its reverse (3023100312), we get a palindrome (216024420612).

The spelling of 213001320300 in words is "two hundred thirteen billion, one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 7319633 14639266 21958899 29278532 36598165 43917798 73196330 87835596 109794495 146392660 182990825 219588990 365981650 439177980 548972475 710004401 731963300 1097944950 1420008802 2130013203 2195889900 2840017604 3550022005 4260026406 7100044010 8520052812 10650066015 14200088020 17750110025 21300132030 35500220050 42600264060 53250330075 71000440100 106500660150 213001320300