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1331321003221 = 114183130127337
BaseRepresentation
bin10011010111111000111…
…010100101110011010101
311201021101001100021100111
4103113320322211303111
5133303021134100341
62455333405243021
7165120242545516
oct23277072456325
94637331307314
101331321003221
11473678aa9520
12196028863471
139870a06c441
1448617220a0d
152496d9dc681
hex135f8ea5cd5

1331321003221 has 32 divisors (see below), whose sum is σ = 1506910801536. Its totient is φ = 1165607040000.

The previous prime is 1331321003149. The next prime is 1331321003231. The reversal of 1331321003221 is 1223001231331.

It is not a de Polignac number, because 1331321003221 - 223 = 1331312614613 is a prime.

It is a super-2 number, since 2×13313210032212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331321003192 and 1331321003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331321003231) 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, 48686665 + ... + 48714001.

It is an arithmetic number, because the mean of its divisors is an integer number (47090962548).

Almost surely, 21331321003221 is an apocalyptic number.

1331321003221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331321003221 is a deficient number, since it is larger than the sum of its proper divisors (175589798315).

1331321003221 is a wasteful number, since it uses less digits than its factorization.

1331321003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28773.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1331321003221 its reverse (1223001231331), we get a palindrome (2554322234552).

The spelling of 1331321003221 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three thousand, two hundred twenty-one".

Divisors: 1 11 41 83 451 913 1301 3403 14311 27337 37433 53341 107983 300707 586751 1120817 1187813 2268971 4427303 12328987 24958681 35565437 48700333 93027811 391219807 1023305921 1458182917 2951931271 16040012087 32471243981 121029182111 1331321003221