Search a number
-
+
10251324221 is a prime number
BaseRepresentation
bin10011000110000011…
…01100101100111101
3222110102200020010212
421203001230230331
5131443314333341
64413121242205
7512015550425
oct114301545475
928412606125
1010251324221
114390672686
121ba1193365
13c74aa4828
146d36a5485
153eeea45eb
hex26306cb3d

10251324221 has 2 divisors, whose sum is σ = 10251324222. Its totient is φ = 10251324220.

The previous prime is 10251324217. The next prime is 10251324233. The reversal of 10251324221 is 12242315201.

10251324221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7479828196 + 2771496025 = 86486^2 + 52645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10251324221 - 22 = 10251324217 is a prime.

It is a super-2 number, since 2×102513242212 (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 (10251324211) 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, 5125662110 + 5125662111.

It is an arithmetic number, because the mean of its divisors is an integer number (5125662111).

Almost surely, 210251324221 is an apocalyptic number.

It is an amenable number.

10251324221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10251324221 is an equidigital number, since it uses as much as digits as its factorization.

10251324221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10251324221 its reverse (12242315201), we get a palindrome (22493639422).

The spelling of 10251324221 in words is "ten billion, two hundred fifty-one million, three hundred twenty-four thousand, two hundred twenty-one".