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1100111012141 is a prime number
BaseRepresentation
bin10000000000100011101…
…110011110000100101101
310220011120121221202202112
4100000203232132010231
5121011011404342031
62201214540533405
7142323530213051
oct20004356360455
93804517852675
101100111012141
11394610a94069
12159260b51265
137c980aa622b
143b362123c61
151d93a5cd62b
hex10023b9e12d

1100111012141 has 2 divisors, whose sum is σ = 1100111012142. Its totient is φ = 1100111012140.

The previous prime is 1100111012101. The next prime is 1100111012251. The reversal of 1100111012141 is 1412101110011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727344594025 + 372766418116 = 852845^2 + 610546^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100111012141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100111012101) 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, 550055506070 + 550055506071.

It is an arithmetic number, because the mean of its divisors is an integer number (550055506071).

Almost surely, 21100111012141 is an apocalyptic number.

It is an amenable number.

1100111012141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111012141 is an equidigital number, since it uses as much as digits as its factorization.

1100111012141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1100111012141 its reverse (1412101110011), we get a palindrome (2512212122152).

The spelling of 1100111012141 in words is "one trillion, one hundred billion, one hundred eleven million, twelve thousand, one hundred forty-one".