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212812811172 = 223213454728229
BaseRepresentation
bin1100011000110010100…
…0011100101110100100
3202100022021211221011100
43012030220130232210
511441320034424142
6241433113040100
721242462022423
oct3061450345644
9670267757140
10212812811172
1182287313945
12352b26b6030
13170b69a0b50
14a42ba412ba
15580824cb4c
hex318ca1cba4

212812811172 has 36 divisors (see below), whose sum is σ = 579323765020. Its totient is φ = 65480864832.

The previous prime is 212812811161. The next prime is 212812811177. The reversal of 212812811172 is 271118218212.

212812811172 is a `hidden beast` number, since 21 + 281 + 281 + 11 + 72 = 666.

212812811172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42166158336 + 170646652836 = 205344^2 + 413094^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212812811177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227363647 + ... + 227364582.

Almost surely, 2212812811172 is an apocalyptic number.

It is an amenable number.

212812811172 is an abundant number, since it is smaller than the sum of its proper divisors (366510953848).

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

212812811172 is a wasteful number, since it uses less digits than its factorization.

212812811172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454728252 (or 454728247 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The spelling of 212812811172 in words is "two hundred twelve billion, eight hundred twelve million, eight hundred eleven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 454728229 909456458 1364184687 1818912916 2728369374 4092554061 5456738748 5911466977 8185108122 11822933954 16370216244 17734400931 23645867908 35468801862 53203202793 70937603724 106406405586 212812811172