Search a number
-
+
31030101102031 is a prime number
BaseRepresentation
bin1110000111000110000100…
…01001110100110111001111
311001212110010002122121020221
413003203002021310313033
513031344121340231111
6145555010500452211
76351564555316213
oct703430211646717
9131773102577227
1031030101102031
119983879134479
123591a120aa067
131441183a0b165
14793c17438943
1538c26de8a371
hex1c38c2274dcf

31030101102031 has 2 divisors, whose sum is σ = 31030101102032. Its totient is φ = 31030101102030.

The previous prime is 31030101101969. The next prime is 31030101102071. The reversal of 31030101102031 is 13020110103013.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31030101102031 - 239 = 30480345288143 is a prime.

It is a super-2 number, since 2×310301011020312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31030101101996 and 31030101102014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31030101102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15515050551015 + 15515050551016.

It is an arithmetic number, because the mean of its divisors is an integer number (15515050551016).

Almost surely, 231030101102031 is an apocalyptic number.

31030101102031 is a deficient number, since it is larger than the sum of its proper divisors (1).

31030101102031 is an equidigital number, since it uses as much as digits as its factorization.

31030101102031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31030101102031 its reverse (13020110103013), we get a palindrome (44050211205044).

The spelling of 31030101102031 in words is "thirty-one trillion, thirty billion, one hundred one million, one hundred two thousand, thirty-one".