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1331031040041 = 33759331916337
BaseRepresentation
bin10011010111100111101…
…000011110000000101001
311201020121211201121122110
4103113213220132000221
5133301422421240131
62455244530312533
7165110122111023
oct23274750360051
94636554647573
101331031040041
1147353a35a92a
12195b67728749
1398691c76bb1
14485ca901013
1524953312646
hex135e7a1e029

1331031040041 has 32 divisors (see below), whose sum is σ = 1826607138048. Its totient is φ = 861509468160.

The previous prime is 1331031040039. The next prime is 1331031040099. The reversal of 1331031040041 is 1400401301331.

It is not a de Polignac number, because 1331031040041 - 21 = 1331031040039 is a prime.

It is a super-2 number, since 2×13310310400412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331031044041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210038025 + ... + 210044361.

It is an arithmetic number, because the mean of its divisors is an integer number (57081473064).

Almost surely, 21331031040041 is an apocalyptic number.

It is an amenable number.

1331031040041 is a deficient number, since it is larger than the sum of its proper divisors (495576098007).

1331031040041 is a wasteful number, since it uses less digits than its factorization.

1331031040041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1331031040041 its reverse (1400401301331), we get a palindrome (2731432341372).

The spelling of 1331031040041 in words is "one trillion, three hundred thirty-one billion, thirty-one million, forty thousand, forty-one".

Divisors: 1 3 37 111 593 1779 3191 6337 9573 19011 21941 65823 118067 234469 354201 703407 1892263 3757841 5676789 11273523 20221367 60664101 70013731 139040117 210041193 417120351 748190579 2244571737 11991270631 35973811893 443677013347 1331031040041