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1003332311113 = 113111326038261
BaseRepresentation
bin11101001100110110100…
…01000001100001001001
310112220202221202100222011
432212123101001201021
5112414311032423423
62044531405255521
7132326336633536
oct16463321014111
93486687670864
101003332311113
11357568a29620
12142551b645a1
13737c9781a72
14367c0c33d8d
151b17409cb0d
hexe99b441849

1003332311113 has 16 divisors (see below), whose sum is σ = 1139850957312. Its totient is φ = 874885536000.

The previous prime is 1003332310999. The next prime is 1003332311147. The reversal of 1003332311113 is 3111132333001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003332311113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003332311713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12980598 + ... + 13057663.

It is an arithmetic number, because the mean of its divisors is an integer number (71240684832).

Almost surely, 21003332311113 is an apocalyptic number.

It is an amenable number.

1003332311113 is a deficient number, since it is larger than the sum of its proper divisors (136518646199).

1003332311113 is a wasteful number, since it uses less digits than its factorization.

1003332311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26038416.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1003332311113 its reverse (3111132333001), we get a palindrome (4114464644114).

The spelling of 1003332311113 in words is "one trillion, three billion, three hundred thirty-two million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 11 31 113 341 1243 3503 38533 26038261 286420871 807186091 2942323493 8879047001 32365558423 91212028283 1003332311113