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212010202120 = 23517311779709
BaseRepresentation
bin1100010101110011001…
…0101111010000001000
3202021020100121011112011
43011130302233100020
511433144102431440
6241221322225304
721213544661353
oct3053462572010
9667210534464
10212010202120
1181a05260882
1235109955234
1316cb9616552
14a3931d729a
1557aca5c9ea
hex315ccaf408

212010202120 has 32 divisors (see below), whose sum is σ = 505083130200. Its totient is φ = 79815605248.

The previous prime is 212010202049. The next prime is 212010202153. The reversal of 212010202120 is 21202010212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 196867915204 + 15142286916 = 443698^2 + 123054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212010202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155889175 + ... + 155890534.

Almost surely, 2212010202120 is an apocalyptic number.

212010202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010202120 is an abundant number, since it is smaller than the sum of its proper divisors (293072928080).

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

212010202120 is a wasteful number, since it uses less digits than its factorization.

212010202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311779737 (or 311779733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212010202120 its reverse (21202010212), we get a palindrome (233212212332).

The spelling of 212010202120 in words is "two hundred twelve billion, ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 311779709 623559418 1247118836 1558898545 2494237672 3117797090 5300255053 6235594180 10600510106 12471188360 21201020212 26501275265 42402040424 53002550530 106005101060 212010202120