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1131133323321 = 321717334266029
BaseRepresentation
bin10000011101011100110…
…011001100100000111001
311000010122121220110102200
4100131130303030200321
5122013030112321241
62223345132420413
7144502352416011
oct20353463144071
94003577813380
101131133323321
113a67902aa671
1216327a317709
1382885bba891
143ca66246c41
151e653d444b6
hex1075cccc839

1131133323321 has 24 divisors (see below), whose sum is σ = 1730967268680. Its totient is φ = 709321007616.

The previous prime is 1131133323317. The next prime is 1131133323373. The reversal of 1131133323321 is 1233233311311.

1131133323321 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 3 + 332 + 3 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228927799296 + 902205524025 = 478464^2 + 949845^2 .

It is not a de Polignac number, because 1131133323321 - 22 = 1131133323317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131133323391) 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 23 ways as a sum of consecutive naturals, for example, 1867866 + ... + 2398163.

It is an arithmetic number, because the mean of its divisors is an integer number (72123636195).

Almost surely, 21131133323321 is an apocalyptic number.

It is an amenable number.

1131133323321 is a deficient number, since it is larger than the sum of its proper divisors (599833945359).

1131133323321 is a wasteful number, since it uses less digits than its factorization.

1131133323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267785 (or 4267782 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1131133323321 its reverse (1233233311311), we get a palindrome (2364366634632).

The spelling of 1131133323321 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 1733 5199 15597 29461 88383 265149 4266029 12798087 38394261 72522493 217567479 652702437 7393028257 22179084771 66537254313 125681480369 377044441107 1131133323321