Search a number
-
+
101022100253 is a prime number
BaseRepresentation
bin101111000010101100…
…0101110101100011101
3100122202101220102012122
41132011120232230131
53123343124202003
6114224154112325
710204264453424
oct1360530565435
9318671812178
10101022100253
1139930384158
12176b411b6a5
1396ac4b6ca9
144c64ac22bb
152963d34238
hex178562eb1d

101022100253 has 2 divisors, whose sum is σ = 101022100254. Its totient is φ = 101022100252.

The previous prime is 101022100187. The next prime is 101022100261. The reversal of 101022100253 is 352001220101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72669602329 + 28352497924 = 269573^2 + 168382^2 .

It is an emirp because it is prime and its reverse (352001220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022100253 - 222 = 101017905949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022100273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511050126 + 50511050127.

It is an arithmetic number, because the mean of its divisors is an integer number (50511050127).

Almost surely, 2101022100253 is an apocalyptic number.

It is an amenable number.

101022100253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022100253 is an equidigital number, since it uses as much as digits as its factorization.

101022100253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 101022100253 its reverse (352001220101), we get a palindrome (453023320354).

The spelling of 101022100253 in words is "one hundred one billion, twenty-two million, one hundred thousand, two hundred fifty-three".