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11101111170001 is a prime number
BaseRepresentation
bin1010000110001010110111…
…0010011011001111010001
31110022020220112011022020121
42201202231302123033101
52423340033424420001
635335440254510241
72224012612016446
oct241425562331721
943266815138217
1011101111170001
11359aa55939526
1212b3577805381
13626aa41c5728
142a54220019cd
15143b732346a1
hexa18adc9b3d1

11101111170001 has 2 divisors, whose sum is σ = 11101111170002. Its totient is φ = 11101111170000.

The previous prime is 11101111169983. The next prime is 11101111170011. The reversal of 11101111170001 is 10007111110111.

11101111170001 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., 9340511250625 + 1760599919376 = 3056225^2 + 1326876^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101111170001 - 217 = 11101111038929 is a prime.

It is a super-2 number, since 2×111011111700012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11101111170011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550555585000 + 5550555585001.

It is an arithmetic number, because the mean of its divisors is an integer number (5550555585001).

Almost surely, 211101111170001 is an apocalyptic number.

It is an amenable number.

11101111170001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101111170001 is an equidigital number, since it uses as much as digits as its factorization.

11101111170001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 11101111170001 its reverse (10007111110111), we get a palindrome (21108222280112).

The spelling of 11101111170001 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred seventy thousand, one".