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212310120 = 233511160841
BaseRepresentation
bin11001010011110…
…01100001101000
3112210111110201210
430221321201220
5413322410440
633022313120
75155414641
oct1451714150
9483443653
10212310120
11a9930810
125b1287a0
1334ca74b9
14202a86c8
151398ba80
hexca79868

212310120 has 64 divisors (see below), whose sum is σ = 694837440. Its totient is φ = 51468800.

The previous prime is 212310113. The next prime is 212310151. The reversal of 212310120 is 21013212.

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 = 212310096 and 212310105.

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, 79101 + ... + 81740.

It is an arithmetic number, because the mean of its divisors is an integer number (10856835).

Almost surely, 2212310120 is an apocalyptic number.

212310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212310120 is an abundant number, since it is smaller than the sum of its proper divisors (482527320).

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

212310120 is a wasteful number, since it uses less digits than its factorization.

212310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160866 (or 160862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212310120 is about 14570.8654513038. The cubic root of 212310120 is about 596.5638029279.

Adding to 212310120 its reverse (21013212), we get a palindrome (233323332).

The spelling of 212310120 in words is "two hundred twelve million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 160841 321682 482523 643364 804205 965046 1286728 1608410 1769251 1930092 2412615 3216820 3538502 3860184 4825230 5307753 6433640 7077004 8846255 9650460 10615506 14154008 17692510 19300920 21231012 26538765 35385020 42462024 53077530 70770040 106155060 212310120