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1331100023121 = 321133893396703
BaseRepresentation
bin10011010111101011101…
…111100111100101010001
311201020210122112022122100
4103113223233213211101
5133302043101214441
62455255433031013
7165111620340621
oct23275357474521
94636718468570
101331100023121
11473575296940
12195b86855469
13986a334a89b
14485d5b3a881
15249593dbcb6
hex135ebbe7951

1331100023121 has 24 divisors (see below), whose sum is σ = 2097558118656. Its totient is φ = 806701451040.

The previous prime is 1331100023083. The next prime is 1331100023129. The reversal of 1331100023121 is 1213200011331.

1331100023121 is a `hidden beast` number, since 1 + 331 + 100 + 0 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 1331100023121 - 211 = 1331100021073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331100023094 and 1331100023103.

It is not an unprimeable number, because it can be changed into a prime (1331100023129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157056 + ... + 3553758.

It is an arithmetic number, because the mean of its divisors is an integer number (87398254944).

Almost surely, 21331100023121 is an apocalyptic number.

1331100023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331100023121 is a deficient number, since it is larger than the sum of its proper divisors (766458095535).

1331100023121 is a wasteful number, since it uses less digits than its factorization.

1331100023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430613 (or 430610 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1331100023121 its reverse (1213200011331), we get a palindrome (2544300034452).

The spelling of 1331100023121 in words is "one trillion, three hundred thirty-one billion, one hundred million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 33893 101679 305037 372823 396703 1118469 1190109 3355407 3570327 4363733 13091199 39273597 13445454779 40336364337 121009093011 147900002569 443700007707 1331100023121