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113121340142401 is a prime number
BaseRepresentation
bin11001101110001000011101…
…010010111011001101000001
3112211112021221200200221211101
4121232020131102323031001
5104311340001034024101
61040331120511414401
732553514156130023
oct3156103522731501
9484467850627741
10113121340142401
1133053544496898
121082b80bb24401
134b173b1839c96
141dd1160150013
15d1282b8cb401
hex66e21d4bb341

113121340142401 has 2 divisors, whose sum is σ = 113121340142402. Its totient is φ = 113121340142400.

The previous prime is 113121340142347. The next prime is 113121340142501. The reversal of 113121340142401 is 104241043121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99918116769025 + 13203223373376 = 9995905^2 + 3633624^2 .

It is a cyclic number.

It is not a de Polignac number, because 113121340142401 - 29 = 113121340141889 is a prime.

It is a super-2 number, since 2×1131213401424012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113121340142401.

It is not a weakly prime, because it can be changed into another prime (113121340142501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56560670071200 + 56560670071201.

It is an arithmetic number, because the mean of its divisors is an integer number (56560670071201).

Almost surely, 2113121340142401 is an apocalyptic number.

It is an amenable number.

113121340142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

113121340142401 is an equidigital number, since it uses as much as digits as its factorization.

113121340142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 113121340142401 its reverse (104241043121311), we get a palindrome (217362383263712).

The spelling of 113121340142401 in words is "one hundred thirteen trillion, one hundred twenty-one billion, three hundred forty million, one hundred forty-two thousand, four hundred one".