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212020200020 = 2252913923311287
BaseRepresentation
bin1100010101110101100…
…0111000001001010100
3202021021001102010001202
43011131120320021110
511433204132400040
6241222320412032
721214025651636
oct3053530701124
9667231363052
10212020200020
1181a0a96a402
1235111177018
1316cbb707175
14a39467aa56
1557ad885015
hex315d638254

212020200020 has 96 divisors (see below), whose sum is σ = 465941548800. Its totient is φ = 80938497024.

The previous prime is 212020200019. The next prime is 212020200047. The reversal of 212020200020 is 20002020212.

It is a junction number, because it is equal to n+sod(n) for n = 212020199974 and 212020200010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18778817 + ... + 18790103.

It is an arithmetic number, because the mean of its divisors is an integer number (4853557800).

Almost surely, 2212020200020 is an apocalyptic number.

212020200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232970774400).

212020200020 is an abundant number, since it is smaller than the sum of its proper divisors (253921348780).

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

212020200020 is a wasteful number, since it uses less digits than its factorization.

212020200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 212020200020 its reverse (20002020212), we get a palindrome (232022220232).

The spelling of 212020200020 in words is "two hundred twelve billion, twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 233 278 290 466 556 580 695 932 1165 1390 2330 2780 4031 4660 6757 8062 11287 13514 16124 20155 22574 27028 32387 33785 40310 45148 56435 64774 67570 80620 112870 129548 135140 161935 225740 323870 327323 647740 654646 939223 1309292 1568893 1636615 1878446 2629871 3137786 3273230 3756892 4696115 5259742 6275572 6546460 7844465 9392230 10519484 13149355 15688930 18784460 26298710 31377860 45497897 52597420 76266259 90995794 152532518 181991588 227489485 305065036 365552069 381331295 454978970 731104138 762662590 909957940 1462208276 1525325180 1827760345 3655520690 7311041380 10601010001 21202020002 42404040004 53005050005 106010100010 212020200020