Search a number
-
+
10102133231 is a prime number
BaseRepresentation
bin10010110100010001…
…00101000111101111
3222002000221112120122
421122020211013233
5131142121230411
64350231435155
7505224500321
oct113210450757
928060845518
1010102133231
114314433243
121b5b225abb
13c4cbc9c38
146bb94b611
153e1d349db
hex25a2251ef

10102133231 has 2 divisors, whose sum is σ = 10102133232. Its totient is φ = 10102133230.

The previous prime is 10102133207. The next prime is 10102133281. The reversal of 10102133231 is 13233120101.

10102133231 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102133231 is a prime.

It is a super-2 number, since 2×101021332312 (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 (10102133281) 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, 5051066615 + 5051066616.

It is an arithmetic number, because the mean of its divisors is an integer number (5051066616).

Almost surely, 210102133231 is an apocalyptic number.

10102133231 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102133231 is an equidigital number, since it uses as much as digits as its factorization.

10102133231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10102133231 its reverse (13233120101), we get a palindrome (23335253332).

The spelling of 10102133231 in words is "ten billion, one hundred two million, one hundred thirty-three thousand, two hundred thirty-one".