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212314120 = 23510152553
BaseRepresentation
bin11001010011110…
…10100000001000
3112210111200012221
430221322200020
5413323022440
633022343424
75155432414
oct1451724010
9483450187
10212314120
11a9933817
125b12ab74
1334ca9275
14202a9d44
151398cd4a
hexca7a808

212314120 has 32 divisors (see below), whose sum is σ = 482445720. Its totient is φ = 84083200.

The previous prime is 212314117. The next prime is 212314147. The reversal of 212314120 is 21413212.

It can be written as a sum of positive squares in 4 ways, for example, as 210888484 + 1425636 = 14522^2 + 1194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212314094 and 212314103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22237 + ... + 30316.

Almost surely, 2212314120 is an apocalyptic number.

212314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212314120 is an abundant number, since it is smaller than the sum of its proper divisors (270131600).

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

212314120 is a wasteful number, since it uses less digits than its factorization.

212314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52665 (or 52661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212314120 is about 14571.0027108638. The cubic root of 212314120 is about 596.5675493975.

Adding to 212314120 its reverse (21413212), we get a palindrome (233727332).

The spelling of 212314120 in words is "two hundred twelve million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 52553 105106 210212 262765 420424 525530 1051060 2102120 5307853 10615706 21231412 26539265 42462824 53078530 106157060 212314120