Search a number
-
+
212021112020 = 22553972062061
BaseRepresentation
bin1100010101110101110…
…0010110110011010100
3202021021010010110002112
43011131130112303110
511433204401041040
6241222352130152
721214036500554
oct3053534266324
9667233113075
10212021112020
1181a10432623
1235111536958
1316cbb966303
14a394837164
1557ad9b5365
hex315d716cd4

212021112020 has 48 divisors (see below), whose sum is σ = 458322148368. Its totient is φ = 82350428160.

The previous prime is 212021112019. The next prime is 212021112047. The reversal of 212021112020 is 20211120212.

It can be written as a sum of positive squares in 8 ways, for example, as 20887764676 + 191133347344 = 144526^2 + 437188^2 .

It is a super-4 number, since 4×2120211120204 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212021111986 and 212021112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928211 + ... + 1133850.

It is an arithmetic number, because the mean of its divisors is an integer number (9548378091).

Almost surely, 2212021112020 is an apocalyptic number.

212021112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021112020 is an abundant number, since it is smaller than the sum of its proper divisors (246301036348).

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

212021112020 is a wasteful number, since it uses less digits than its factorization.

212021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062220 (or 2062218 counting only the distinct ones).

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

Adding to 212021112020 its reverse (20211120212), we get a palindrome (232232232232).

The spelling of 212021112020 in words is "two hundred twelve billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 97 106 194 212 265 388 485 530 970 1060 1940 5141 10282 20564 25705 51410 102820 2062061 4124122 8248244 10310305 20620610 41241220 109289233 200019917 218578466 400039834 437156932 546446165 800079668 1000099585 1092892330 2000199170 2185784660 4000398340 10601055601 21202111202 42404222404 53005278005 106010556010 212021112020