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1104131313333 = 32122681257037
BaseRepresentation
bin10000000100010011010…
…110101100111010110101
310220112221210212020012200
4100010103112230322311
5121042230104011313
62203121513535113
7142525255211556
oct20042326547265
93815853766180
101104131313333
11396294383934
12159ba3414499
1380171985189
143b62404032d
151dac3513b73
hex101135aceb5

1104131313333 has 6 divisors (see below), whose sum is σ = 1594856341494. Its totient is φ = 736087542216.

The previous prime is 1104131313293. The next prime is 1104131313361. The reversal of 1104131313333 is 3333131314011.

1104131313333 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 313 + 13 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 858806251524 + 245325061809 = 926718^2 + 495303^2 .

It is not a de Polignac number, because 1104131313333 - 210 = 1104131312309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1104131313297 and 1104131313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104131313533) 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 5 ways as a sum of consecutive naturals, for example, 61340628510 + ... + 61340628527.

It is an arithmetic number, because the mean of its divisors is an integer number (265809390249).

Almost surely, 21104131313333 is an apocalyptic number.

It is an amenable number.

1104131313333 is a deficient number, since it is larger than the sum of its proper divisors (490725028161).

1104131313333 is a wasteful number, since it uses less digits than its factorization.

1104131313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122681257043 (or 122681257040 counting only the distinct ones).

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

Adding to 1104131313333 its reverse (3333131314011), we get a palindrome (4437262627344).

The spelling of 1104131313333 in words is "one trillion, one hundred four billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 122681257037 368043771111 1104131313333