Search a number
-
+
10212314141 is a prime number
BaseRepresentation
bin10011000001011001…
…11000110000011101
3222100201021022101002
421200230320300131
5131403323023031
64405205200045
7511033144421
oct114054706035
928321238332
1010212314141
114370648847
121b90100025
13c69996743
146cc42cb81
153eb84accb
hex260b38c1d

10212314141 has 2 divisors, whose sum is σ = 10212314142. Its totient is φ = 10212314140.

The previous prime is 10212314131. The next prime is 10212314149. The reversal of 10212314141 is 14141321201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10211910916 + 403225 = 101054^2 + 635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212314141 - 222 = 10208119837 is a prime.

It is a super-3 number, since 3×102123141413 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212314149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106157070 + 5106157071.

It is an arithmetic number, because the mean of its divisors is an integer number (5106157071).

Almost surely, 210212314141 is an apocalyptic number.

It is an amenable number.

10212314141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212314141 is an equidigital number, since it uses as much as digits as its factorization.

10212314141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10212314141 its reverse (14141321201), we get a palindrome (24353635342).

The spelling of 10212314141 in words is "ten billion, two hundred twelve million, three hundred fourteen thousand, one hundred forty-one".