Search a number
-
+
102111231202031 is a prime number
BaseRepresentation
bin10111001101111010011111…
…101010011101001011101111
3111101112201221021021220022002
4113031322133222131023233
5101340442300141431111
61001101130234242515
730336202333232132
oct2715723752351357
9441481837256262
10102111231202031
112a599147a85407
12b551a1088643b
1344c9080ca480c
141b302d21b8219
15bc12329e563b
hex5cde9fa9d2ef

102111231202031 has 2 divisors, whose sum is σ = 102111231202032. Its totient is φ = 102111231202030.

The previous prime is 102111231201997. The next prime is 102111231202103. The reversal of 102111231202031 is 130202132111201.

Together with next prime (102111231202103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102111231202031 is a prime.

It is a super-2 number, since 2×1021112312020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111231201994 and 102111231202012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111231102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055615601015 + 51055615601016.

It is an arithmetic number, because the mean of its divisors is an integer number (51055615601016).

Almost surely, 2102111231202031 is an apocalyptic number.

102111231202031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111231202031 is an equidigital number, since it uses as much as digits as its factorization.

102111231202031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102111231202031 its reverse (130202132111201), we get a palindrome (232313363313232).

The spelling of 102111231202031 in words is "one hundred two trillion, one hundred eleven billion, two hundred thirty-one million, two hundred two thousand, thirty-one".