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1033011112141 is a prime number
BaseRepresentation
bin11110000100001000100…
…00101010100011001101
310122202101022122200012001
433002010100222203031
5113411101321042031
62110320405112301
7134426656401331
oct17020420524315
93582338580161
101033011112141
1136910892a058
121482553b8691
1376549435ca8
1437dd874b7c1
151bd0e8cb861
hexf08442a8cd

1033011112141 has 2 divisors, whose sum is σ = 1033011112142. Its totient is φ = 1033011112140.

The previous prime is 1033011112127. The next prime is 1033011112307. The reversal of 1033011112141 is 1412111103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1033010009641 + 1102500 = 1016371^2 + 1050^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033011112141 - 211 = 1033011110093 is a prime.

It is a super-2 number, since 2×10330111121412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033011115141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516505556070 + 516505556071.

It is an arithmetic number, because the mean of its divisors is an integer number (516505556071).

Almost surely, 21033011112141 is an apocalyptic number.

It is an amenable number.

1033011112141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033011112141 is an equidigital number, since it uses as much as digits as its factorization.

1033011112141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1033011112141 its reverse (1412111103301), we get a palindrome (2445122215442).

The spelling of 1033011112141 in words is "one trillion, thirty-three billion, eleven million, one hundred twelve thousand, one hundred forty-one".