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212102010020 = 22597109330933
BaseRepresentation
bin1100010110001001000…
…0111101010010100100
3202021110202100111021202
43011202100331102210
511433341103310040
6241234402102032
721216041224025
oct3054220752244
9667422314252
10212102010020
1181a5206747a
123513464a918
131700264c354
14a3a1494c4c
1557b5b45015
hex316243d4a4

212102010020 has 24 divisors (see below), whose sum is σ = 450006124344. Its totient is φ = 83966155776.

The previous prime is 212102010007. The next prime is 212102010089. The reversal of 212102010020 is 20010201212.

It is a happy number.

212102010020 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 4829416036 + 207272593984 = 69494^2 + 455272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212102009983 and 212102010010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54663527 + ... + 54667406.

It is an arithmetic number, because the mean of its divisors is an integer number (18750255181).

Almost surely, 2212102010020 is an apocalyptic number.

212102010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102010020 is an abundant number, since it is smaller than the sum of its proper divisors (237904114324).

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

212102010020 is a wasteful number, since it uses less digits than its factorization.

212102010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109331039 (or 109331037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212102010020 its reverse (20010201212), we get a palindrome (232112211232).

The spelling of 212102010020 in words is "two hundred twelve billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 109330933 218661866 437323732 546654665 1093309330 2186618660 10605100501 21210201002 42420402004 53025502505 106051005010 212102010020