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1141164363061 is a prime number
BaseRepresentation
bin10000100110110010101…
…100100100110100110101
311001002112201002002002001
4100212302230210310311
5122144101034104221
62232124344415301
7145306055016562
oct20466254446465
94032481062061
101141164363061
113aaa68595258
121651b9777531
13837c4155358
143d338569869
151ea3e7d4391
hex109b2b24d35

1141164363061 has 2 divisors, whose sum is σ = 1141164363062. Its totient is φ = 1141164363060.

The previous prime is 1141164363047. The next prime is 1141164363067. The reversal of 1141164363061 is 1603634611411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1018222264900 + 122942098161 = 1009070^2 + 350631^2 .

It is a cyclic number.

It is not a de Polignac number, because 1141164363061 - 25 = 1141164363029 is a prime.

It is a super-3 number, since 3×11411643630613 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1141164363061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1141164363067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 570582181530 + 570582181531.

It is an arithmetic number, because the mean of its divisors is an integer number (570582181531).

Almost surely, 21141164363061 is an apocalyptic number.

It is an amenable number.

1141164363061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1141164363061 is an equidigital number, since it uses as much as digits as its factorization.

1141164363061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 1141164363061 its reverse (1603634611411), we get a palindrome (2744798974472).

The spelling of 1141164363061 in words is "one trillion, one hundred forty-one billion, one hundred sixty-four million, three hundred sixty-three thousand, sixty-one".