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1110110001101 is a prime number
BaseRepresentation
bin10000001001110111101…
…101100101011111001101
310221010101110211000222222
4100021313231211133031
5121142001130013401
62205551045545125
7143126363214263
oct20116755453715
93833343730888
101110110001101
11398882178502
1215b1917151a5
13808b54cb44a
143ba300a2433
151dd2333bc1b
hex10277b657cd

1110110001101 has 2 divisors, whose sum is σ = 1110110001102. Its totient is φ = 1110110001100.

The previous prime is 1110110001071. The next prime is 1110110001109. The reversal of 1110110001101 is 1011000110111.

It is an a-pointer prime, because the next prime (1110110001109) can be obtained adding 1110110001101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987171409225 + 122938591876 = 993565^2 + 350626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1110110001101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110110001109) 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, 555055000550 + 555055000551.

It is an arithmetic number, because the mean of its divisors is an integer number (555055000551).

Almost surely, 21110110001101 is an apocalyptic number.

It is an amenable number.

1110110001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110110001101 is an equidigital number, since it uses as much as digits as its factorization.

1110110001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1110110001101 its reverse (1011000110111), we get a palindrome (2121110111212).

It can be divided in two parts, 11 and 10110001101, that multiplied together give a palindrome (111210012111).

The spelling of 1110110001101 in words is "one trillion, one hundred ten billion, one hundred ten million, one thousand, one hundred one".