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212131200300 = 223521741594353
BaseRepresentation
bin1100010110010000000…
…0010011110100101100
3202021112210021111211020
43011210000103310230
511433421041402200
6241241323454140
721216544310625
oct3054400236454
9667483244736
10212131200300
1181a67594578
1235142387350
13170086cc8c6
14a3a52d2a4c
1557b84adea0
hex3164013d2c

212131200300 has 72 divisors (see below), whose sum is σ = 649870186896. Its totient is φ = 53240770560.

The previous prime is 212131200263. The next prime is 212131200311. The reversal of 212131200300 is 3002131212.

It is a super-2 number, since 2×2121312003002 (a number of 23 digits) contains 22 as substring.

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 212131200300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20792077 + ... + 20802276.

It is an arithmetic number, because the mean of its divisors is an integer number (9025974818).

Almost surely, 2212131200300 is an apocalyptic number.

212131200300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131200300 is an abundant number, since it is smaller than the sum of its proper divisors (437738986596).

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

212131200300 is a wasteful number, since it uses less digits than its factorization.

212131200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41594387 (or 41594380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212131200300 its reverse (3002131212), we get a palindrome (215133331512).

The spelling of 212131200300 in words is "two hundred twelve billion, one hundred thirty-one million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 41594353 83188706 124783059 166377412 207971765 249566118 415943530 499132236 623915295 707104001 831887060 1039858825 1247830590 1414208002 2079717650 2121312003 2495661180 2828416004 3119576475 3535520005 4159435300 4242624006 6239152950 7071040010 8485248012 10606560015 12478305900 14142080020 17677600025 21213120030 35355200050 42426240060 53032800075 70710400100 106065600150 212131200300