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212101320130 = 25724110557557
BaseRepresentation
bin1100010110001000111…
…0010100110111000010
3202021110201001102221021
43011202032110313002
511433340414221010
6241234335220054
721216032321500
oct3054216246702
9667421042837
10212101320130
1181a51736117
123513437762a
131700246a32b
14a3a1355670
1557b5a5a8da
hex3162394dc2

212101320130 has 48 divisors (see below), whose sum is σ = 454946289336. Its totient is φ = 70946776320.

The previous prime is 212101320083. The next prime is 212101320191. The reversal of 212101320130 is 31023101212.

212101320130 is digitally balanced in base 3, 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 38413256049 + 173688064081 = 195993^2 + 416759^2 .

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 23 ways as a sum of consecutive naturals, for example, 5258689 + ... + 5298868.

Almost surely, 2212101320130 is an apocalyptic number.

212101320130 is an abundant number, since it is smaller than the sum of its proper divisors (242844969206).

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

212101320130 is a wasteful number, since it uses less digits than its factorization.

212101320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557619 (or 10557612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212101320130 its reverse (31023101212), we get a palindrome (243124421342).

The spelling of 212101320130 in words is "two hundred twelve billion, one hundred one million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2870 4018 10045 20090 10557557 21115114 52787785 73902899 105575570 147805798 369514495 432859837 517320293 739028990 865719674 1034640586 2164299185 2586601465 3030018859 4328598370 5173202930 6060037718 15150094295 21210132013 30300188590 42420264026 106050660065 212101320130