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212130110020 = 22529413388493
BaseRepresentation
bin1100010110001111110…
…0001001101001000100
3202021112201020010020111
43011203330021221010
511433420302010040
6241241244242404
721216532120153
oct3054374115104
9667481203214
10212130110020
1181a66a0a414
1235141b40404
131700840a57a
14a3a50cb59a
1557b8345dea
hex3163f09a44

212130110020 has 48 divisors (see below), whose sum is σ = 460951086960. Its totient is φ = 81905363456.

The previous prime is 212130109979. The next prime is 212130110057. The reversal of 212130110020 is 20011031212.

It can be written as a sum of positive squares in 8 ways, for example, as 5492588544 + 206637521476 = 74112^2 + 454574^2 .

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 15 ways as a sum of consecutive naturals, for example, 2352894 + ... + 2441386.

It is an arithmetic number, because the mean of its divisors is an integer number (9603147645).

Almost surely, 2212130110020 is an apocalyptic number.

212130110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130110020 is an abundant number, since it is smaller than the sum of its proper divisors (248820976940).

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

212130110020 is a wasteful number, since it uses less digits than its factorization.

212130110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92664 (or 92662 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212130110020 its reverse (20011031212), we get a palindrome (232141141232).

The spelling of 212130110020 in words is "two hundred twelve billion, one hundred thirty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 4133 8266 16532 20665 41330 82660 88493 119857 176986 239714 353972 442465 479428 599285 884930 1198570 1769860 2397140 2566297 5132594 10265188 12831485 25662970 51325940 365741569 731483138 1462966276 1828707845 3657415690 7314831380 10606505501 21213011002 42426022004 53032527505 106065055010 212130110020