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211231120 = 24517155317
BaseRepresentation
bin11001001011100…
…10000110010000
3112201110122121211
430211302012100
5413033343440
632543225504
75143302112
oct1445620620
9481418554
10211231120
11a9264081
125a8a8294
13349ba339
14200a73b2
1513826eea
hexc972190

211231120 has 40 divisors (see below), whose sum is σ = 520004664. Its totient is φ = 79521792.

The previous prime is 211231109. The next prime is 211231147. The reversal of 211231120 is 21132112.

It can be written as a sum of positive squares in 4 ways, for example, as 116985856 + 94245264 = 10816^2 + 9708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 211231120.

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, 76299 + ... + 79018.

Almost surely, 2211231120 is an apocalyptic number.

211231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231120 is an abundant number, since it is smaller than the sum of its proper divisors (308773544).

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

211231120 is a wasteful number, since it uses less digits than its factorization.

211231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155347 (or 155341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211231120 is about 14533.7923474914. The cubic root of 211231120 is about 595.5514695107.

Adding to 211231120 its reverse (21132112), we get a palindrome (232363232).

The spelling of 211231120 in words is "two hundred eleven million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 155317 310634 621268 776585 1242536 1553170 2485072 2640389 3106340 5280778 6212680 10561556 12425360 13201945 21123112 26403890 42246224 52807780 105615560 211231120