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1331011322021 = 41101321422681
BaseRepresentation
bin10011010111100110011…
…101010000000010100101
311201020120110121211121102
4103113212131100002211
5133301402344301041
62455242543525445
7165106462365053
oct23274635200245
94636513554542
101331011322021
1147352a212447
12195b60bb9885
139868ab61c24
14485c804b1d3
152495171a09b
hex135e67500a5

1331011322021 has 8 divisors (see below), whose sum is σ = 1376974769688. Its totient is φ = 1285690720000.

The previous prime is 1331011321993. The next prime is 1331011322023. The reversal of 1331011322021 is 1202231101331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35386876996 + 1295624445025 = 188114^2 + 1138255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1331011322021 - 218 = 1331011059877 is a prime.

It is a super-2 number, since 2×13310113220212 (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 = 1331011321984 and 1331011322002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331011322023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160707200 + ... + 160715481.

It is an arithmetic number, because the mean of its divisors is an integer number (172121846211).

Almost surely, 21331011322021 is an apocalyptic number.

It is an amenable number.

1331011322021 is a deficient number, since it is larger than the sum of its proper divisors (45963447667).

1331011322021 is a wasteful number, since it uses less digits than its factorization.

1331011322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321422823.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1331011322021 its reverse (1202231101331), we get a palindrome (2533242423352).

The spelling of 1331011322021 in words is "one trillion, three hundred thirty-one billion, eleven million, three hundred twenty-two thousand, twenty-one".

Divisors: 1 41 101 4141 321422681 13178329921 32463690781 1331011322021