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211212012031 = 974332150263
BaseRepresentation
bin1100010010110100110…
…1111000100111111111
3202012011201122220120021
43010231031320213333
511430030233341111
6241010210233011
721155013323506
oct3045515704777
9665151586507
10211212012031
1181635746849
1234b26585767
1316bc0148417
14a3191bd83d
155762941d71
hex312d3789ff

211212012031 has 8 divisors (see below), whose sum is σ = 213398626784. Its totient is φ = 209025584640.

The previous prime is 211212011987. The next prime is 211212012073. The reversal of 211212012031 is 130210212112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211212012031 - 215 = 211211979263 is a prime.

It is a super-2 number, since 2×2112120120312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211212011996 and 211212012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212042031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4177006 + ... + 4227268.

It is an arithmetic number, because the mean of its divisors is an integer number (26674828348).

Almost surely, 2211212012031 is an apocalyptic number.

211212012031 is a deficient number, since it is larger than the sum of its proper divisors (2186614753).

211212012031 is an equidigital number, since it uses as much as digits as its factorization.

211212012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93681.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211212012031 its reverse (130210212112), we get a palindrome (341422224143).

The spelling of 211212012031 in words is "two hundred eleven billion, two hundred twelve million, twelve thousand, thirty-one".

Divisors: 1 97 43321 50263 4202137 4875511 2177443423 211212012031