Search a number
-
+
101131033301 is a prime number
BaseRepresentation
bin101111000101111100…
…0010001101011010101
3100200000222212210020222
41132023320101223111
53124104021031201
6114243045004125
710210056412454
oct1361370215325
9320028783228
10101131033301
1139986917171
12177246b3645
1396c8c3780c
144c7535ab9b
15296d6a091b
hex178be11ad5

101131033301 has 2 divisors, whose sum is σ = 101131033302. Its totient is φ = 101131033300.

The previous prime is 101131033279. The next prime is 101131033309. The reversal of 101131033301 is 103330131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76427367025 + 24703666276 = 276455^2 + 157174^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131033301 - 222 = 101126838997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101131033301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131033309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565516650 + 50565516651.

It is an arithmetic number, because the mean of its divisors is an integer number (50565516651).

Almost surely, 2101131033301 is an apocalyptic number.

It is an amenable number.

101131033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131033301 is an equidigital number, since it uses as much as digits as its factorization.

101131033301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101131033301 its reverse (103330131101), we get a palindrome (204461164402).

The spelling of 101131033301 in words is "one hundred one billion, one hundred thirty-one million, thirty-three thousand, three hundred one".