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1331010233333 = 11216096836597
BaseRepresentation
bin10011010111100110011…
…001000110001111110101
311201020120101120112012122
4103113212121012033311
5133301402104431313
62455242504325325
7165106450212044
oct23274631061765
94636511515178
101331010233333
11473529639500
12195b60773845
139868a870531
14485c7c4655b
15249515a2708
hex135e66463f5

1331010233333 has 12 divisors (see below), whose sum is σ = 1463920729740. Its totient is φ = 1209257100480.

The previous prime is 1331010233317. The next prime is 1331010233491. The reversal of 1331010233333 is 3333320101331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1286232710884 + 44777522449 = 1134122^2 + 211607^2 .

It is not a de Polignac number, because 1331010233333 - 24 = 1331010233317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331010239333) 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 11 ways as a sum of consecutive naturals, for example, 3223610 + ... + 3612987.

It is an arithmetic number, because the mean of its divisors is an integer number (121993394145).

Almost surely, 21331010233333 is an apocalyptic number.

It is an amenable number.

1331010233333 is a deficient number, since it is larger than the sum of its proper divisors (132910496407).

1331010233333 is a wasteful number, since it uses less digits than its factorization.

1331010233333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838228 (or 6838217 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 1331010233333 its reverse (3333320101331), we get a palindrome (4664330334664).

The spelling of 1331010233333 in words is "one trillion, three hundred thirty-one billion, ten million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 11 121 1609 17699 194689 6836597 75202567 827228237 11000084573 121000930303 1331010233333