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111313300001 is a prime number
BaseRepresentation
bin110011110101011001…
…0100010101000100001
3101122022121121112021212
41213222302202220201
53310432201100001
6123045302155505
711020306303301
oct1475262425041
9348277545255
10111313300001
1143231501912
12196a6722b95
13a65c6107b7
14555d7a7601
152d675637bb
hex19eaca2a21

111313300001 has 2 divisors, whose sum is σ = 111313300002. Its totient is φ = 111313300000.

The previous prime is 111313299989. The next prime is 111313300019. The reversal of 111313300001 is 100003313111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111021573601 + 291726400 = 333199^2 + 17080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111313300001 is a prime.

It is a super-2 number, since 2×1113133000012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111313300061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656650000 + 55656650001.

It is an arithmetic number, because the mean of its divisors is an integer number (55656650001).

Almost surely, 2111313300001 is an apocalyptic number.

It is an amenable number.

111313300001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313300001 is an equidigital number, since it uses as much as digits as its factorization.

111313300001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 111313300001 its reverse (100003313111), we get a palindrome (211316613112).

The spelling of 111313300001 in words is "one hundred eleven billion, three hundred thirteen million, three hundred thousand, one".