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11681144701 is a prime number
BaseRepresentation
bin10101110000100000…
…00001111101111101
31010011002010122002221
422320100001331331
5142410333112301
65211035245341
7562320043312
oct127020017575
933132118087
1011681144701
114a547799a6
12231bba9851
131142094655
147cb53ad09
15485789da1
hex2b8401f7d

11681144701 has 2 divisors, whose sum is σ = 11681144702. Its totient is φ = 11681144700.

The previous prime is 11681144623. The next prime is 11681144707. The reversal of 11681144701 is 10744118611.

11681144701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11647805625 + 33339076 = 107925^2 + 5774^2 .

It is a cyclic number.

It is not a de Polignac number, because 11681144701 - 215 = 11681111933 is a prime.

It is a super-5 number, since 5×116811447015 (a number of 52 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11681144707) 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, 5840572350 + 5840572351.

It is an arithmetic number, because the mean of its divisors is an integer number (5840572351).

Almost surely, 211681144701 is an apocalyptic number.

It is an amenable number.

11681144701 is a deficient number, since it is larger than the sum of its proper divisors (1).

11681144701 is an equidigital number, since it uses as much as digits as its factorization.

11681144701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 11681144701 in words is "eleven billion, six hundred eighty-one million, one hundred forty-four thousand, seven hundred one".