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212012031 = 37115317317
BaseRepresentation
bin11001010001100…
…00101111111111
3112202221022211110
430220300233333
5413233341111
633012053103
75153033610
oct1450605777
9482838743
10212012031
11a9747860
125b004193
1334c0190a
142022bc07
151392d5a6
hexca30bff

212012031 has 32 divisors (see below), whose sum is σ = 359106048. Its totient is φ = 108051840.

The previous prime is 212011993. The next prime is 212012033. The reversal of 212012031 is 130210212.

It is not a de Polignac number, because 212012031 - 26 = 212011967 is a prime.

It is a super-2 number, since 2×2120120312 = 89898202577489922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011998 and 212012016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012033) 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 31 ways as a sum of consecutive naturals, for example, 3585 + ... + 20901.

It is an arithmetic number, because the mean of its divisors is an integer number (11222064).

Almost surely, 2212012031 is an apocalyptic number.

212012031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212012031 is a deficient number, since it is larger than the sum of its proper divisors (147094017).

212012031 is a wasteful number, since it uses less digits than its factorization.

212012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212012031 is about 14560.6329189359. The cubic root of 212012031 is about 596.2844750623.

Adding to 212012031 its reverse (130210212), we get a palindrome (342222243).

It can be divided in two parts, 21201 and 2031, that added together give a palindrome (23232).

The spelling of 212012031 in words is "two hundred twelve million, twelve thousand, thirty-one".

Divisors: 1 3 7 11 21 33 53 77 159 231 371 583 1113 1749 4081 12243 17317 51951 121219 190487 363657 571461 917801 1333409 2753403 4000227 6424607 10095811 19273821 30287433 70670677 212012031