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10188058249 is a prime number
BaseRepresentation
bin10010111110100000…
…10110111010001001
3222022000121222112201
421133100112322021
5131331120330444
64402541240201
7510320031505
oct113720267211
928260558481
1010188058249
114358990a56
121b83b63061
13c64953145
146c9117305
153e9658dd4
hex25f416e89

10188058249 has 2 divisors, whose sum is σ = 10188058250. Its totient is φ = 10188058248.

The previous prime is 10188058211. The next prime is 10188058273. The reversal of 10188058249 is 94285088101.

It is a happy number.

10188058249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8248272400 + 1939785849 = 90820^2 + 44043^2 .

It is a cyclic number.

It is not a de Polignac number, because 10188058249 - 213 = 10188050057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10188058199 and 10188058208.

It is not a weakly prime, because it can be changed into another prime (10188058849) 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, 5094029124 + 5094029125.

It is an arithmetic number, because the mean of its divisors is an integer number (5094029125).

Almost surely, 210188058249 is an apocalyptic number.

It is an amenable number.

10188058249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10188058249 is an equidigital number, since it uses as much as digits as its factorization.

10188058249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 10188058249 in words is "ten billion, one hundred eighty-eight million, fifty-eight thousand, two hundred forty-nine".