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212101201220 = 22510997294129
BaseRepresentation
bin1100010110001000110…
…1110111110101000100
3202021110200211101211012
43011202031313311010
511433340401414340
6241234332501352
721216031315016
oct3054215676504
9667420741735
10212101201220
1181a51664847
123513431a858
131700242817c
14a3a13241b6
1557b5a35565
hex3162377d44

212101201220 has 24 divisors (see below), whose sum is σ = 449498880600. Its totient is φ = 84062126592.

The previous prime is 212101201217. The next prime is 212101201231. The reversal of 212101201220 is 22102101212.

212101201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106604862016 + 105496339204 = 326504^2 + 324802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212101201195 and 212101201204.

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 7 ways as a sum of consecutive naturals, for example, 48644885 + ... + 48649244.

It is an arithmetic number, because the mean of its divisors is an integer number (18729120025).

Almost surely, 2212101201220 is an apocalyptic number.

212101201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101201220 is an abundant number, since it is smaller than the sum of its proper divisors (237397679380).

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

212101201220 is a wasteful number, since it uses less digits than its factorization.

212101201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97294247 (or 97294245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212101201220 its reverse (22102101212), we get a palindrome (234203302432).

The spelling of 212101201220 in words is "two hundred twelve billion, one hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 97294129 194588258 389176516 486470645 972941290 1945882580 10605060061 21210120122 42420240244 53025300305 106050600610 212101201220