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1100332141333 = 83269439112261
BaseRepresentation
bin10000000000110000111…
…010000000101100010101
310220012011001001021222121
4100000300322000230111
5121011440012010313
62201252520255541
7142332153611425
oct20006072005425
93805131037877
101100332141333
11394714898767
121593030115b1
137c9b784a8c9
143b383646485
151d94ec0d28d
hex10030e80b15

1100332141333 has 16 divisors (see below), whose sum is σ = 1120284950400. Its totient is φ = 1080557282880.

The previous prime is 1100332141319. The next prime is 1100332141361. The reversal of 1100332141333 is 3331412330011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100332141333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100332141298 and 1100332141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100332141313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9745423 + ... + 9857683.

It is an arithmetic number, because the mean of its divisors is an integer number (70017809400).

Almost surely, 21100332141333 is an apocalyptic number.

It is an amenable number.

1100332141333 is a deficient number, since it is larger than the sum of its proper divisors (19952809067).

1100332141333 is a wasteful number, since it uses less digits than its factorization.

1100332141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113052.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1100332141333 its reverse (3331412330011), we get a palindrome (4431744471344).

The spelling of 1100332141333 in words is "one trillion, one hundred billion, three hundred thirty-two million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 83 269 439 22327 36437 112261 118091 9317663 9801553 30198209 49282579 2506451347 4090454057 13257013751 1100332141333