Search a number
-
+
1332110111233 = 1141494091493
BaseRepresentation
bin10011011000100111111…
…100110011001000000001
311201100102001012010001011
4103120213330303020001
5133311130142024413
62455543554440521
7165145634056126
oct23304774631001
94640361163034
101332110111233
11473a43480000
12196208b93141
13988046aa765
144868dd5274d
15249b7e1233d
hex13627f33201

1332110111233 has 40 divisors (see below), whose sum is σ = 1479743505000. Its totient is φ = 1199136871680.

The previous prime is 1332110111221. The next prime is 1332110111237. The reversal of 1332110111233 is 3321110112331.

It can be written as a sum of positive squares in 4 ways, for example, as 461111618704 + 870998492529 = 679052^2 + 933273^2 .

It is not a de Polignac number, because 1332110111233 - 25 = 1332110111201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332110111237) 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 39 ways as a sum of consecutive naturals, for example, 892236435 + ... + 892237927.

It is an arithmetic number, because the mean of its divisors is an integer number (36993587625).

Almost surely, 21332110111233 is an apocalyptic number.

It is an amenable number.

1332110111233 is a deficient number, since it is larger than the sum of its proper divisors (147633393767).

1332110111233 is an equidigital number, since it uses as much as digits as its factorization.

1332110111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1332110111233 its reverse (3321110112331), we get a palindrome (4653220223564).

The spelling of 1332110111233 in words is "one trillion, three hundred thirty-two billion, one hundred ten million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 11 121 149 409 1331 1493 1639 4499 14641 16423 18029 49489 60941 180653 198319 222457 544379 610637 670351 1987183 2181509 2447027 5988169 6717007 7373861 21859013 26917297 73887077 81112471 90984913 296090267 812757847 892237181 1000834043 3256992937 8940336317 11009174473 121100919203 1332110111233