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111301131101 is a prime number
BaseRepresentation
bin110011110101000010…
…0000111101101011101
3101122021202201021200212
41213222010013231131
53310421042143401
6123044145302205
711020101001406
oct1475204075535
9348252637625
10111301131101
1143225650176
12196a2634965
13a659c3c974
14555bd1a9ad
152d6645cdbb
hex19ea107b5d

111301131101 has 2 divisors, whose sum is σ = 111301131102. Its totient is φ = 111301131100.

The previous prime is 111301131059. The next prime is 111301131143. The reversal of 111301131101 is 101131103111.

It is a balanced prime because it is at equal distance from previous prime (111301131059) and next prime (111301131143).

It can be written as a sum of positive squares in only one way, i.e., 76621008025 + 34680123076 = 276805^2 + 186226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111301131101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111301133101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55650565550 + 55650565551.

It is an arithmetic number, because the mean of its divisors is an integer number (55650565551).

Almost surely, 2111301131101 is an apocalyptic number.

It is an amenable number.

111301131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111301131101 is an equidigital number, since it uses as much as digits as its factorization.

111301131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 111301131101 its reverse (101131103111), we get a palindrome (212432234212).

The spelling of 111301131101 in words is "one hundred eleven billion, three hundred one million, one hundred thirty-one thousand, one hundred one".