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331113230101 is a prime number
BaseRepresentation
bin1001101000101111110…
…00101110111100010101
31011122122211221212201201
410310113320232330111
520411104441330401
6412040013352501
732631203006113
oct4642770567425
91148584855651
10331113230101
11118473871605
1254209198731
13252baa27534
1412051370ab3
15892ddd3b01
hex4d17e2ef15

331113230101 has 2 divisors, whose sum is σ = 331113230102. Its totient is φ = 331113230100.

The previous prime is 331113230099. The next prime is 331113230137. The reversal of 331113230101 is 101032311133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176085979876 + 155027250225 = 419626^2 + 393735^2 .

It is a cyclic number.

It is not a de Polignac number, because 331113230101 - 21 = 331113230099 is a prime.

It is a super-2 number, since 2×3311132301012 (a number of 24 digits) contains 22 as substring.

Together with 331113230099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331113230141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165556615050 + 165556615051.

It is an arithmetic number, because the mean of its divisors is an integer number (165556615051).

Almost surely, 2331113230101 is an apocalyptic number.

It is an amenable number.

331113230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

331113230101 is an equidigital number, since it uses as much as digits as its factorization.

331113230101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 331113230101 its reverse (101032311133), we get a palindrome (432145541234).

The spelling of 331113230101 in words is "three hundred thirty-one billion, one hundred thirteen million, two hundred thirty thousand, one hundred one".