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31130311301 is a prime number
BaseRepresentation
bin11100111111100000…
…101101101010000101
32222100112011122222122
4130333200231222011
51002223324430201
622145010335325
72151303165035
oct347740555205
988315148878
1031130311301
1112225281701
12604958a545
132c215c965b
1417145d78c5
15c22e9ae1b
hex73f82da85

31130311301 has 2 divisors, whose sum is σ = 31130311302. Its totient is φ = 31130311300.

The previous prime is 31130311283. The next prime is 31130311313. The reversal of 31130311301 is 10311303113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22817613025 + 8312698276 = 151055^2 + 91174^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130311301 - 214 = 31130294917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31130311301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31130311391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565155650 + 15565155651.

It is an arithmetic number, because the mean of its divisors is an integer number (15565155651).

Almost surely, 231130311301 is an apocalyptic number.

It is an amenable number.

31130311301 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130311301 is an equidigital number, since it uses as much as digits as its factorization.

31130311301 is an odious number, because the sum of its binary digits is odd.

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

Adding to 31130311301 its reverse (10311303113), we get a palindrome (41441614414).

The spelling of 31130311301 in words is "thirty-one billion, one hundred thirty million, three hundred eleven thousand, three hundred one".