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1030101031 is a prime number
BaseRepresentation
bin111101011001100…
…001100000100111
32122210022112222001
4331121201200213
54102201213111
6250114350131
734345500001
oct7531414047
92583275861
101030101031
11489513173
12248b8b347
1313554914b
149ab45371
156067a1c1
hex3d661827

1030101031 has 2 divisors, whose sum is σ = 1030101032. Its totient is φ = 1030101030.

The previous prime is 1030101019. The next prime is 1030101047. The reversal of 1030101031 is 1301010301.

1030101031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (1301010301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1030101031 is a prime.

It is a super-2 number, since 2×10301010312 = 2122216268134525922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030100999 and 1030101017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030191031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515050515 + 515050516.

It is an arithmetic number, because the mean of its divisors is an integer number (515050516).

Almost surely, 21030101031 is an apocalyptic number.

1030101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030101031 is an equidigital number, since it uses as much as digits as its factorization.

1030101031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1030101031 is about 32095.1870379345. The cubic root of 1030101031 is about 1009.9346528319.

Adding to 1030101031 its reverse (1301010301), we get a palindrome (2331111332).

The spelling of 1030101031 in words is "one billion, thirty million, one hundred one thousand, thirty-one".