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212310020 = 225133312467
BaseRepresentation
bin11001010011110…
…01100000000100
3112210111110121002
430221321200010
5413322410040
633022312432
75155414436
oct1451714004
9483443532
10212310020
11a993072a
125b128718
1334ca7440
14202a8656
151398ba15
hexca79804

212310020 has 48 divisors (see below), whose sum is σ = 481793088. Its totient is φ = 78122880.

The previous prime is 212310017. The next prime is 212310023. The reversal of 212310020 is 20013212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212310017) and next prime (212310023).

It is a junction number, because it is equal to n+sod(n) for n = 212309983 and 212310010.

It is not an unprimeable number, because it can be changed into a prime (212310023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84827 + ... + 87293.

It is an arithmetic number, because the mean of its divisors is an integer number (10037356).

Almost surely, 2212310020 is an apocalyptic number.

212310020 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 212310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240896544).

212310020 is an abundant number, since it is smaller than the sum of its proper divisors (269483068).

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

212310020 is a wasteful number, since it uses less digits than its factorization.

212310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 212310020 is about 14570.8620197983. The cubic root of 212310020 is about 596.5637092656.

Adding to 212310020 its reverse (20013212), we get a palindrome (232323232).

The spelling of 212310020 in words is "two hundred twelve million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 662 1324 1655 2467 3310 4303 4934 6620 8606 9868 12335 17212 21515 24670 32071 43030 49340 64142 86060 128284 160355 320710 641420 816577 1633154 3266308 4082885 8165770 10615501 16331540 21231002 42462004 53077505 106155010 212310020