Search a number
-
+
102133123031 is a prime number
BaseRepresentation
bin101111100011110011…
…0111100011111010111
3100202121211111012221102
41133013212330133113
53133132034414111
6114530323140315
710243645136042
oct1370746743727
9322554435842
10102133123031
113a350537aa5
121796421469b
139828726c14
144d2c48dc59
1529cb64613b
hex17c79bc7d7

102133123031 has 2 divisors, whose sum is σ = 102133123032. Its totient is φ = 102133123030.

The previous prime is 102133123009. The next prime is 102133123067. The reversal of 102133123031 is 130321331201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102133123031 is a prime.

It is a super-2 number, since 2×1021331230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133122994 and 102133123012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133123531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066561515 + 51066561516.

It is an arithmetic number, because the mean of its divisors is an integer number (51066561516).

Almost surely, 2102133123031 is an apocalyptic number.

102133123031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133123031 is an equidigital number, since it uses as much as digits as its factorization.

102133123031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102133123031 its reverse (130321331201), we get a palindrome (232454454232).

The spelling of 102133123031 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, thirty-one".