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212100331 = 4717832531
BaseRepresentation
bin11001010010001…
…10010011101011
3112210002210221211
430221012103223
5413244202311
633014013551
75153552212
oct1451062353
9483083854
10212100331
11a97a8133
125b0472b7
1334c32b71
1420252079
1513949821
hexca464eb

212100331 has 8 divisors (see below), whose sum is σ = 216820224. Its totient is φ = 207389160.

The previous prime is 212100307. The next prime is 212100337. The reversal of 212100331 is 133001212.

212100331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212100331 - 25 = 212100299 is a prime.

It is a super-2 number, since 2×2121003312 = 89973100820619122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82536 + ... + 85066.

It is an arithmetic number, because the mean of its divisors is an integer number (27102528).

Almost surely, 2212100331 is an apocalyptic number.

212100331 is a deficient number, since it is larger than the sum of its proper divisors (4719893).

212100331 is a wasteful number, since it uses less digits than its factorization.

212100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 212100331 is about 14563.6647517031. The cubic root of 212100331 is about 596.3672449111.

Adding to 212100331 its reverse (133001212), we get a palindrome (345101543).

The spelling of 212100331 in words is "two hundred twelve million, one hundred thousand, three hundred thirty-one".

Divisors: 1 47 1783 2531 83801 118957 4512773 212100331