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1121233313106 = 232153379406123
BaseRepresentation
bin10000010100001110101…
…101101001110101010010
310222012002200021211111200
4100110032231221311102
5121332241212004411
62215030521052030
7144002130624324
oct20241655516522
93865080254450
101121233313106
113a256aa7a445
12161376927016
1381968b3c37a
143c3a74b1614
151e274b37e56
hex1050eb69d52

1121233313106 has 24 divisors (see below), whose sum is σ = 2429360665680. Its totient is φ = 373741080696.

The previous prime is 1121233313093. The next prime is 1121233313111. The reversal of 1121233313106 is 6013133321211.

1121233313106 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 3 + 331 + 310 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1121233313106.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2557761 + ... + 2963883.

It is an arithmetic number, because the mean of its divisors is an integer number (101223361070).

Almost surely, 21121233313106 is an apocalyptic number.

1121233313106 is an abundant number, since it is smaller than the sum of its proper divisors (1308127352574).

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

1121233313106 is a wasteful number, since it uses less digits than its factorization.

1121233313106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559510 (or 559507 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1121233313106 its reverse (6013133321211), we get a palindrome (7134366634317).

The spelling of 1121233313106 in words is "one trillion, one hundred twenty-one billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 153379 306758 406123 460137 812246 920274 1218369 1380411 2436738 2760822 3655107 7310214 62290739617 124581479234 186872218851 373744437702 560616656553 1121233313106