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12114033101 is a prime number
BaseRepresentation
bin10110100100000110…
…10111100111001101
31011021020200122100122
423102003113213031
5144302143024401
65322021434325
7606124403522
oct132203274715
934236618318
1012114033101
115157068405
122420b6b9a5
1311b097c831
1482cc23149
154ad79821b
hex2d20d79cd

12114033101 has 2 divisors, whose sum is σ = 12114033102. Its totient is φ = 12114033100.

The previous prime is 12114033079. The next prime is 12114033119. The reversal of 12114033101 is 10133041121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11858992201 + 255040900 = 108899^2 + 15970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12114033101 is a prime.

It is a super-3 number, since 3×121140331013 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114033101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12114033121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6057016550 + 6057016551.

It is an arithmetic number, because the mean of its divisors is an integer number (6057016551).

Almost surely, 212114033101 is an apocalyptic number.

It is an amenable number.

12114033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12114033101 is an equidigital number, since it uses as much as digits as its factorization.

12114033101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12114033101 its reverse (10133041121), we get a palindrome (22247074222).

The spelling of 12114033101 in words is "twelve billion, one hundred fourteen million, thirty-three thousand, one hundred one".