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212002112020 = 225411078123981
BaseRepresentation
bin1100010101110001001…
…1111000001000010100
3202021012210101010222211
43011130103320020110
511433140020041040
6241220433003204
721213416135146
oct3053423701024
9667183333884
10212002112020
1181a00735646
12351070b3504
1316cb7a430ca
14a3920ccc96
1557abeb08ea
hex315c4f8214

212002112020 has 48 divisors (see below), whose sum is σ = 456124401936. Its totient is φ = 82721408000.

The previous prime is 212002111987. The next prime is 212002112071. The reversal of 212002112020 is 20211200212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 119836438276 + 92165673744 = 346174^2 + 303588^2 .

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, 8828430 + ... + 8852410.

It is an arithmetic number, because the mean of its divisors is an integer number (9502591707).

Almost surely, 2212002112020 is an apocalyptic number.

212002112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002112020 is an abundant number, since it is smaller than the sum of its proper divisors (244122289916).

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

212002112020 is a wasteful number, since it uses less digits than its factorization.

212002112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34812 (or 34810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212002112020 its reverse (20211200212), we get a palindrome (232213312232).

The spelling of 212002112020 in words is "two hundred twelve billion, two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 10781 21562 23981 43124 47962 53905 95924 107810 119905 215620 239810 442021 479620 884042 983221 1768084 1966442 2210105 3932884 4420210 4916105 8840420 9832210 19664420 258539161 517078322 1034156644 1292695805 2585391610 5170783220 10600105601 21200211202 42400422404 53000528005 106001056010 212002112020