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212101101200 = 2452530252753
BaseRepresentation
bin1100010110001000110…
…1011111011010010000
3202021110200122022121202
43011202031133122100
511433340340214300
6241234330410332
721216030420302
oct3054215373220
9667420568552
10212101101200
1181a515a668a
12351342909a8
13170023c17a1
14a3a12d9972
1557b5a15ad5
hex316235f690

212101101200 has 30 divisors (see below), whose sum is σ = 509572896594. Its totient is φ = 84840440320.

The previous prime is 212101101151. The next prime is 212101101209. The reversal of 212101101200 is 2101101212.

It can be written as a sum of positive squares in 3 ways, for example, as 48219136 + 212052882064 = 6944^2 + 460492^2 .

It is not an unprimeable number, because it can be changed into a prime (212101101209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265125977 + ... + 265126776.

Almost surely, 2212101101200 is an apocalyptic number.

212101101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101101200 is an abundant number, since it is smaller than the sum of its proper divisors (297471795394).

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

212101101200 is a wasteful number, since it uses less digits than its factorization.

212101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530252771 (or 530252760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212101101200 its reverse (2101101212), we get a palindrome (214202202412).

The spelling of 212101101200 in words is "two hundred twelve billion, one hundred one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 530252753 1060505506 2121011012 2651263765 4242022024 5302527530 8484044048 10605055060 13256318825 21210110120 26512637650 42420220240 53025275300 106050550600 212101101200