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111001313021 is a prime number
BaseRepresentation
bin110011101100000110…
…0011001111011111101
3101121111212112221121112
41213120030121323331
53304312314004041
6122554315211405
711006500410254
oct1473014317375
9347455487545
10111001313021
1143091390435
121961a146b65
13a60caa6911
14553019379b
152d49e87deb
hex19d8319efd

111001313021 has 2 divisors, whose sum is σ = 111001313022. Its totient is φ = 111001313020.

The previous prime is 111001312999. The next prime is 111001313023. The reversal of 111001313021 is 120313100111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66905512921 + 44095800100 = 258661^2 + 209990^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001313021 - 26 = 111001312957 is a prime.

It is a super-3 number, since 3×1110013130213 (a number of 34 digits) contains 333 as substring.

Together with 111001313023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001312987 and 111001313005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001313023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500656510 + 55500656511.

It is an arithmetic number, because the mean of its divisors is an integer number (55500656511).

Almost surely, 2111001313021 is an apocalyptic number.

It is an amenable number.

111001313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001313021 is an equidigital number, since it uses as much as digits as its factorization.

111001313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 111001313021 its reverse (120313100111), we get a palindrome (231314413132).

The spelling of 111001313021 in words is "one hundred eleven billion, one million, three hundred thirteen thousand, twenty-one".