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1010110001141 is a prime number
BaseRepresentation
bin11101011001011110011…
…11110110111111110101
310120120021022011200210202
432230233033312333311
5113022201130014031
62052012122530245
7132656316226013
oct16545717667765
93516238150722
101010110001141
1135a42684243a
12143923966985
13743399bba37
1436c650418b3
151b41e1022cb
hexeb2f3f6ff5

1010110001141 has 2 divisors, whose sum is σ = 1010110001142. Its totient is φ = 1010110001140.

The previous prime is 1010110001113. The next prime is 1010110001231. The reversal of 1010110001141 is 1411000110101.

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., 795879878641 + 214230122500 = 892121^2 + 462850^2 .

It is an emirp because it is prime and its reverse (1411000110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010110001141 - 214 = 1010109984757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010110001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055000570 + 505055000571.

It is an arithmetic number, because the mean of its divisors is an integer number (505055000571).

Almost surely, 21010110001141 is an apocalyptic number.

It is an amenable number.

1010110001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110001141 is an equidigital number, since it uses as much as digits as its factorization.

1010110001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010110001141 its reverse (1411000110101), we get a palindrome (2421110111242).

The spelling of 1010110001141 in words is "one trillion, ten billion, one hundred ten million, one thousand, one hundred forty-one".