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123212213 = 299743801
BaseRepresentation
bin1110101100000…
…01000110110101
322120211211101022
413112001012311
5223020242323
620120510525
73024200165
oct726010665
9276754338
10123212213
1163606183
123531b445
131c6b0047
14125145a5
15ac3c4c8
hex75811b5

123212213 has 8 divisors (see below), whose sum is σ = 128777880. Its totient is φ = 117734400.

The previous prime is 123212161. The next prime is 123212233. The reversal of 123212213 is 312212321.

It can be written as a sum of positive squares in 4 ways, for example, as 18722929 + 104489284 = 4327^2 + 10222^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123212213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123212191 and 123212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123212233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19088 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (16097235).

Almost surely, 2123212213 is an apocalyptic number.

It is an amenable number.

123212213 is a deficient number, since it is larger than the sum of its proper divisors (5565667).

123212213 is an equidigital number, since it uses as much as digits as its factorization.

123212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43927.

The product of its digits is 144, while the sum is 17.

The square root of 123212213 is about 11100.0996842371. The cubic root of 123212213 is about 497.6048286292.

Adding to 123212213 its reverse (312212321), we get a palindrome (435424534).

The spelling of 123212213 in words is "one hundred twenty-three million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 29 97 2813 43801 1270229 4248697 123212213