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212031120200031 = 3311898021455007
BaseRepresentation
bin110000001101011101010111…
…100110011101000101011111
31000210201222101022212010022000
4300031131113212131011133
5210242404213232400111
62030541430225253343
762442512550553266
oct6015352746350537
91023658338763260
10212031120200031
1161617990793030
121b945075194253
1391405ab1479c2
143a5050a7275dd
15197a63910ec56
hexc0d75799d15f

212031120200031 has 32 divisors (see below), whose sum is σ = 346526856345600. Its totient is φ = 127059847295040.

The previous prime is 212031120200021. The next prime is 212031120200051. The reversal of 212031120200031 is 130002021130212.

212031120200031 is a `hidden beast` number, since 2 + 120 + 311 + 2 + 0 + 200 + 0 + 31 = 666.

It is not a de Polignac number, because 212031120200031 - 226 = 212031053091167 is a prime.

It is a super-2 number, since 2×2120311202000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212031120199977 and 212031120200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212031120200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010701071 + ... + 4010753936.

It is an arithmetic number, because the mean of its divisors is an integer number (10828964260800).

Almost surely, 2212031120200031 is an apocalyptic number.

212031120200031 is a deficient number, since it is larger than the sum of its proper divisors (134495736145569).

212031120200031 is a wasteful number, since it uses less digits than its factorization.

212031120200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021455116 (or 8021455110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212031120200031 its reverse (130002021130212), we get a palindrome (342033141330243).

The spelling of 212031120200031 in words is "two hundred twelve trillion, thirty-one billion, one hundred twenty million, two hundred thousand, thirty-one".

Divisors: 1 3 9 11 27 33 89 99 267 297 801 979 2403 2937 8811 26433 8021455007 24064365021 72193095063 88236005077 216579285189 264708015231 713909495623 794124045693 2141728486869 2382372137079 6425185460607 7853004451853 19275556381821 23559013355559 70677040066677 212031120200031