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1023343011141 = 311591314012213
BaseRepresentation
bin11101110010000111111…
…11110010010101000101
310121211102112102020220020
432321003333302111011
5113231301302324031
62102041200125353
7133635252034053
oct16710377622505
93554375366806
101023343011141
11364aa74a6740
121463b7606859
1375668434a79
143775c7031d3
151b945c2e096
hexee43ff2545

1023343011141 has 32 divisors (see below), whose sum is σ = 1525283274240. Its totient is φ = 605041569600.

The previous prime is 1023343011091. The next prime is 1023343011143. The reversal of 1023343011141 is 1411103433201.

It is a happy number.

It is not a de Polignac number, because 1023343011141 - 210 = 1023343010117 is a prime.

It is a super-2 number, since 2×10233430111412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023343011143) 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 in 31 ways as a sum of consecutive naturals, for example, 1751050 + ... + 2261163.

It is an arithmetic number, because the mean of its divisors is an integer number (47665102320).

Almost surely, 21023343011141 is an apocalyptic number.

1023343011141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023343011141 is a deficient number, since it is larger than the sum of its proper divisors (501940263099).

1023343011141 is a wasteful number, since it uses less digits than its factorization.

1023343011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012417.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1023343011141 its reverse (1411103433201), we get a palindrome (2434446444342).

The spelling of 1023343011141 in words is "one trillion, twenty-three billion, three hundred forty-three million, eleven thousand, one hundred forty-one".

Divisors: 1 3 11 33 59 131 177 393 649 1441 1947 4323 7729 23187 85019 255057 4012213 12036639 44134343 132403029 236720567 525599903 710161701 1576799709 2603926237 5781598933 7811778711 17344796799 31010394277 93031182831 341114337047 1023343011141