Search a number
-
+
210120022200 = 233521131836367
BaseRepresentation
bin1100001110110000100…
…0010001100010111000
3202002100121220002010110
43003230020101202320
511420311211202300
6240310001144320
721115653501624
oct3035410214270
9662317802113
10210120022200
1181125302710
123488092b0a0
1316a77b406aa
14a254168184
1556ebb3e550
hex30ec2118b8

210120022200 has 96 divisors (see below), whose sum is σ = 710587733760. Its totient is φ = 50938185600.

The previous prime is 210120022171. The next prime is 210120022201. The reversal of 210120022200 is 2220021012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15911584 + ... + 15924783.

It is an arithmetic number, because the mean of its divisors is an integer number (7401955560).

Almost surely, 2210120022200 is an apocalyptic number.

210120022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120022200 is an abundant number, since it is smaller than the sum of its proper divisors (500467711560).

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

210120022200 is a wasteful number, since it uses less digits than its factorization.

210120022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31836397 (or 31836388 counting only the distinct ones).

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

Adding to 210120022200 its reverse (2220021012), we get a palindrome (212340043212).

The spelling of 210120022200 in words is "two hundred ten billion, one hundred twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 31836367 63672734 95509101 127345468 159181835 191018202 254690936 318363670 350200037 382036404 477545505 636727340 700400074 764072808 795909175 955091010 1050600111 1273454680 1400800148 1591818350 1751000185 1910182020 2101200222 2387727525 2801600296 3183636700 3502000370 3820364040 4202400444 4775455050 5253000555 6367273400 7004000740 8404800888 8755000925 9550910100 10506001110 14008001480 17510001850 19101820200 21012002220 26265002775 35020003700 42024004440 52530005550 70040007400 105060011100 210120022200