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10055032213 is a prime number
BaseRepresentation
bin10010101110101001…
…11001110110010101
3221221202022120010111
421113110321312111
5131043042012323
64341430123021
7504113235502
oct112724716625
927852276114
1010055032213
11429a892586
121b474b0471
13c43218205
146b55aa4a9
153dcb2dc0d
hex257539d95

10055032213 has 2 divisors, whose sum is σ = 10055032214. Its totient is φ = 10055032212.

The previous prime is 10055032193. The next prime is 10055032259. The reversal of 10055032213 is 31223055001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10007601444 + 47430769 = 100038^2 + 6887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10055032213 is a prime.

It is a super-2 number, since 2×100550322132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10055032913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5027516106 + 5027516107.

It is an arithmetic number, because the mean of its divisors is an integer number (5027516107).

Almost surely, 210055032213 is an apocalyptic number.

It is an amenable number.

10055032213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10055032213 is an equidigital number, since it uses as much as digits as its factorization.

10055032213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 10055032213 its reverse (31223055001), we get a palindrome (41278087214).

The spelling of 10055032213 in words is "ten billion, fifty-five million, thirty-two thousand, two hundred thirteen".