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1331321100330 = 2351318743182129
BaseRepresentation
bin10011010111111000111…
…010111101100000101010
311201021101001112012120010
4103113320322331200222
5133303021200202310
62455333411312350
7165120243431604
oct23277072754052
94637331465503
101331321100330
11473679065481
121960288ab6b6
139870a0a46c0
1448617248174
152496da0b320
hex135f8ebd82a

1331321100330 has 64 divisors (see below), whose sum is σ = 3441155477760. Its totient is φ = 327690525696.

The previous prime is 1331321100301. The next prime is 1331321100337. The reversal of 1331321100330 is 330011231331.

It is a super-2 number, since 2×13313211003302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331321100297 and 1331321100306.

It is not an unprimeable number, because it can be changed into a prime (1331321100337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7218706 + ... + 7400834.

It is an arithmetic number, because the mean of its divisors is an integer number (53768054340).

Almost surely, 21331321100330 is an apocalyptic number.

1331321100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331321100330 is an abundant number, since it is smaller than the sum of its proper divisors (2109834377430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331321100330 is a wasteful number, since it uses less digits than its factorization.

1331321100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200895.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1331321100330 its reverse (330011231331), we get a palindrome (1661332331661).

The spelling of 1331321100330 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 18743 37486 56229 93715 112458 182129 187430 243659 281145 364258 487318 546387 562290 730977 910645 1092774 1218295 1461954 1821290 2367677 2436590 2731935 3654885 4735354 5463870 7103031 7309770 11838385 14206062 23676770 35515155 71030310 3413643847 6827287694 10240931541 17068219235 20481863082 34136438470 44377370011 51204657705 88754740022 102409315410 133132110033 221886850055 266264220066 443773700110 665660550165 1331321100330