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212122020 = 223511321397
BaseRepresentation
bin11001010010010…
…11100110100100
3112210010220201010
430221023212210
5413300401040
633014302220
75154002355
oct1451134644
9483126633
10212122020
11a9812460
125b057970
1334c3c9b6
1420259d2c
1513950e80
hexca4b9a4

212122020 has 48 divisors (see below), whose sum is σ = 647938368. Its totient is φ = 51423360.

The previous prime is 212122019. The next prime is 212122049. The reversal of 212122020 is 20221212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212121987 and 212122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160039 + ... + 161358.

It is an arithmetic number, because the mean of its divisors is an integer number (13498716).

Almost surely, 2212122020 is an apocalyptic number.

212122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122020 is an abundant number, since it is smaller than the sum of its proper divisors (435816348).

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

212122020 is a wasteful number, since it uses less digits than its factorization.

212122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321420 (or 321418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212122020 is about 14564.4093598058. The cubic root of 212122020 is about 596.3875720337.

Adding to 212122020 its reverse (20221212), we get a palindrome (232343232).

It can be divided in two parts, 21212 and 2020, that added together give a palindrome (23232).

The spelling of 212122020 in words is "two hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 321397 642794 964191 1285588 1606985 1928382 3213970 3535367 3856764 4820955 6427940 7070734 9641910 10606101 14141468 17676835 19283820 21212202 35353670 42424404 53030505 70707340 106061010 212122020