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213001312200 = 23352355002187
BaseRepresentation
bin1100011001011111011…
…1100001011111001000
3202100210102112202221220
43012113313201133020
511442211313442300
6241503525202040
721250241165205
oct3062767413710
9670712482856
10213001312200
1182373762516
1235345860320
1317116a60211
14a448aaccac
155819a84da0
hex3197de17c8

213001312200 has 48 divisors (see below), whose sum is σ = 660304069680. Its totient is φ = 56800349760.

The previous prime is 213001312187. The next prime is 213001312207. The reversal of 213001312200 is 2213100312.

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 213001312200.

It is not an unprimeable number, because it can be changed into a prime (213001312207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177500494 + ... + 177501693.

It is an arithmetic number, because the mean of its divisors is an integer number (13756334785).

Almost surely, 2213001312200 is an apocalyptic number.

213001312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001312200 is an abundant number, since it is smaller than the sum of its proper divisors (447302757480).

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

213001312200 is a wasteful number, since it uses less digits than its factorization.

213001312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355002206 (or 355002197 counting only the distinct ones).

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

Adding to 213001312200 its reverse (2213100312), we get a palindrome (215214412512).

The spelling of 213001312200 in words is "two hundred thirteen billion, one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 355002187 710004374 1065006561 1420008748 1775010935 2130013122 2840017496 3550021870 4260026244 5325032805 7100043740 8520052488 8875054675 10650065610 14200087480 17750109350 21300131220 26625164025 35500218700 42600262440 53250328050 71000437400 106500656100 213001312200