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213523313 is a prime number
BaseRepresentation
bin11001011101000…
…01101101110001
3112212210002220212
430232201231301
5414130221223
633104313505
75201626643
oct1456415561
9485702825
10213523313
11aa58a253
125b612895
1335310773
1420502893
1513b2b278
hexcba1b71

213523313 has 2 divisors, whose sum is σ = 213523314. Its totient is φ = 213523312.

The previous prime is 213523291. The next prime is 213523369. The reversal of 213523313 is 313325312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213510544 + 12769 = 14612^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 213523313 - 212 = 213519217 is a prime.

It is not a weakly prime, because it can be changed into another prime (213525313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106761656 + 106761657.

It is an arithmetic number, because the mean of its divisors is an integer number (106761657).

Almost surely, 2213523313 is an apocalyptic number.

It is an amenable number.

213523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213523313 is an equidigital number, since it uses as much as digits as its factorization.

213523313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 213523313 is about 14612.4369288630. The cubic root of 213523313 is about 597.6979502034.

Adding to 213523313 its reverse (313325312), we get a palindrome (526848625).

The spelling of 213523313 in words is "two hundred thirteen million, five hundred twenty-three thousand, three hundred thirteen".