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213102232153 is a prime number
BaseRepresentation
bin1100011001110111100…
…0100000001001011001
3202101001110110001002221
43012131320200021121
511442413132412103
6241521532224041
721252605041366
oct3063570401131
9671043401087
10213102232153
1182415722138
123537360b021
1317131936675
14a45825d46d
15582386c1bd
hex319de20259

213102232153 has 2 divisors, whose sum is σ = 213102232154. Its totient is φ = 213102232152.

The previous prime is 213102232139. The next prime is 213102232169. The reversal of 213102232153 is 351232201312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118313985024 + 94788247129 = 343968^2 + 307877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213102232153 is a prime.

It is a super-2 number, since 2×2131022321532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213102236153) 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 as a sum of consecutive naturals, namely, 106551116076 + 106551116077.

It is an arithmetic number, because the mean of its divisors is an integer number (106551116077).

Almost surely, 2213102232153 is an apocalyptic number.

It is an amenable number.

213102232153 is a deficient number, since it is larger than the sum of its proper divisors (1).

213102232153 is an equidigital number, since it uses as much as digits as its factorization.

213102232153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 213102232153 its reverse (351232201312), we get a palindrome (564334433465).

The spelling of 213102232153 in words is "two hundred thirteen billion, one hundred two million, two hundred thirty-two thousand, one hundred fifty-three".