Search a number
-
+
101105155033 is a prime number
BaseRepresentation
bin101111000101001010…
…1100011101111011001
3100122222012012000221121
41132022111203233121
53124030404430113
6114240322205241
710206323431561
oct1361225435731
9318865160847
10101105155033
1139973251473
1217717ab3821
1396c377692c
144c71b41da1
15296b28ce8d
hex178a563bd9

101105155033 has 2 divisors, whose sum is σ = 101105155034. Its totient is φ = 101105155032.

The previous prime is 101105154967. The next prime is 101105155049. The reversal of 101105155033 is 330551501101.

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., 85949821584 + 15155333449 = 293172^2 + 123107^2 .

It is an emirp because it is prime and its reverse (330551501101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101105155033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101105154989 and 101105155007.

It is not a weakly prime, because it can be changed into another prime (101105155733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552577516 + 50552577517.

It is an arithmetic number, because the mean of its divisors is an integer number (50552577517).

Almost surely, 2101105155033 is an apocalyptic number.

It is an amenable number.

101105155033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105155033 is an equidigital number, since it uses as much as digits as its factorization.

101105155033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 25.

Adding to 101105155033 its reverse (330551501101), we get a palindrome (431656656134).

The spelling of 101105155033 in words is "one hundred one billion, one hundred five million, one hundred fifty-five thousand, thirty-three".