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10011120101149 is a prime number
BaseRepresentation
bin1001000110101110010101…
…0000011110011100011101
31022110001110011122220212111
42101223211100132130131
52303010233221214044
633143013423234021
72052164613552256
oct221534520363435
938401404586774
1010011120101149
11320a768342662
12115827ba48911
13578076c13b2b
1426877dd43b2d
1512562b307b34
hex91ae541e71d

10011120101149 has 2 divisors, whose sum is σ = 10011120101150. Its totient is φ = 10011120101148.

The previous prime is 10011120101111. The next prime is 10011120101237. The reversal of 10011120101149 is 94110102111001.

10011120101149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8129586645049 + 1881533456100 = 2851243^2 + 1371690^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011120101149 - 213 = 10011120092957 is a prime.

It is a super-2 number, since 2×100111201011492 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011120101849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005560050574 + 5005560050575.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560050575).

Almost surely, 210011120101149 is an apocalyptic number.

It is an amenable number.

10011120101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011120101149 is an equidigital number, since it uses as much as digits as its factorization.

10011120101149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10011120101149 in words is "ten trillion, eleven billion, one hundred twenty million, one hundred one thousand, one hundred forty-nine".