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10234224257 is a prime number
BaseRepresentation
bin10011000100000000…
…11101111010000001
3222102020111110101212
421202000131322001
5131424430134012
64411310535505
7511420320335
oct114200357201
928366443355
1010234224257
114381a53184
121b97507595
13c713983ca
146d12d37c5
153ed727b22
hex26201de81

10234224257 has 2 divisors, whose sum is σ = 10234224258. Its totient is φ = 10234224256.

The previous prime is 10234224241. The next prime is 10234224347. The reversal of 10234224257 is 75242243201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10088394481 + 145829776 = 100441^2 + 12076^2 .

It is an emirp because it is prime and its reverse (75242243201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10234224257 - 24 = 10234224241 is a prime.

It is a super-2 number, since 2×102342242572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10234224227) 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 as a sum of consecutive naturals, namely, 5117112128 + 5117112129.

It is an arithmetic number, because the mean of its divisors is an integer number (5117112129).

Almost surely, 210234224257 is an apocalyptic number.

It is an amenable number.

10234224257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10234224257 is an equidigital number, since it uses as much as digits as its factorization.

10234224257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 32.

Adding to 10234224257 its reverse (75242243201), we get a palindrome (85476467458).

The spelling of 10234224257 in words is "ten billion, two hundred thirty-four million, two hundred twenty-four thousand, two hundred fifty-seven".