Search a number
-
+
212100345 = 32529162529
BaseRepresentation
bin11001010010001…
…10010011111001
3112210002210222100
430221012103321
5413244202340
633014014013
75153552232
oct1451062371
9483083870
10212100345
11a97a8146
125b047309
1334c32b82
1420252089
1513949830
hexca464f9

212100345 has 24 divisors (see below), whose sum is σ = 380320200. Its totient is φ = 109218816.

The previous prime is 212100341. The next prime is 212100349. The reversal of 212100345 is 543001212.

212100345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212100341) and next prime (212100349).

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 187060329 = 5004^2 + 13677^2 .

It is not a de Polignac number, because 212100345 - 22 = 212100341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212100341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79960 + ... + 82569.

It is an arithmetic number, because the mean of its divisors is an integer number (15846675).

Almost surely, 2212100345 is an apocalyptic number.

It is an amenable number.

212100345 is a deficient number, since it is larger than the sum of its proper divisors (168219855).

212100345 is a wasteful number, since it uses less digits than its factorization.

212100345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162569 (or 162566 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212100345 is about 14563.6652323514. The cubic root of 212100345 is about 596.3672580325.

Adding to 212100345 its reverse (543001212), we get a palindrome (755101557).

The spelling of 212100345 in words is "two hundred twelve million, one hundred thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 162529 487587 812645 1462761 2437935 4713341 7313805 14140023 23566705 42420069 70700115 212100345