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1001100111149 is a prime number
BaseRepresentation
bin11101001000101100011…
…01110110110100101101
310112201000101110212021102
432210112031312310231
5112400223112024044
62043522105412445
7132220123354115
oct16442615666455
93481011425242
101001100111149
11356622a06766
1214202a49a125
1373532187c98
143664c5b4045
151b09312024e
hexe916376d2d

1001100111149 has 2 divisors, whose sum is σ = 1001100111150. Its totient is φ = 1001100111148.

The previous prime is 1001100111113. The next prime is 1001100111199. The reversal of 1001100111149 is 9411110011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 618566520100 + 382533591049 = 786490^2 + 618493^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100111149 - 28 = 1001100110893 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001100111149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001100111199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550055574 + 500550055575.

It is an arithmetic number, because the mean of its divisors is an integer number (500550055575).

Almost surely, 21001100111149 is an apocalyptic number.

It is an amenable number.

1001100111149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100111149 is an equidigital number, since it uses as much as digits as its factorization.

1001100111149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 1001100111149 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred forty-nine".