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212003122200 = 23352353338537
BaseRepresentation
bin1100010101110001011…
…1101110110000011000
3202021012212021110200220
43011130113232300120
511433140244402300
6241220510400040
721213430543242
oct3053427566030
9667185243626
10212003122200
1181a01265601
1235107500020
1316cb8007b4c
14a3922b3092
1557ac10eda0
hex315c5eec18

212003122200 has 48 divisors (see below), whose sum is σ = 657209680680. Its totient is φ = 56534165760.

The previous prime is 212003122153. The next prime is 212003122231. The reversal of 212003122200 is 2221300212.

It is a happy number.

212003122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212003122200.

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 11 ways as a sum of consecutive naturals, for example, 176668669 + ... + 176669868.

Almost surely, 2212003122200 is an apocalyptic number.

212003122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003122200 is an abundant number, since it is smaller than the sum of its proper divisors (445206558480).

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

212003122200 is a wasteful number, since it uses less digits than its factorization.

212003122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353338556 (or 353338547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212003122200 its reverse (2221300212), we get a palindrome (214224422412).

The spelling of 212003122200 in words is "two hundred twelve billion, three million, one hundred twenty-two 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 353338537 706677074 1060015611 1413354148 1766692685 2120031222 2826708296 3533385370 4240062444 5300078055 7066770740 8480124888 8833463425 10600156110 14133541480 17666926850 21200312220 26500390275 35333853700 42400624440 53000780550 70667707400 106001561100 212003122200