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1131312413241 = 321108711337727
BaseRepresentation
bin10000011101100111011…
…110010111101000111001
311000011010002220011121200
4100131213132113220321
5122013411434210431
62223415011124413
7144506655564033
oct20354736275071
94004102804550
101131312413241
113a687240056a
1216330a2a3709
13828b403344a
143ca81d44c53
151e66491cee6
hex10767797a39

1131312413241 has 12 divisors (see below), whose sum is σ = 1634265464832. Its totient is φ = 754140182616.

The previous prime is 1131312413177. The next prime is 1131312413261. The reversal of 1131312413241 is 1423142131311.

1131312413241 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 1 + 2 + 413 + 241 = 666.

It is not a de Polignac number, because 1131312413241 - 26 = 1131312413177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131312413261) 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, 5569081 + ... + 5768646.

It is an arithmetic number, because the mean of its divisors is an integer number (136188788736).

Almost surely, 21131312413241 is an apocalyptic number.

It is an amenable number.

1131312413241 is a deficient number, since it is larger than the sum of its proper divisors (502953051591).

1131312413241 is a wasteful number, since it uses less digits than its factorization.

1131312413241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348820 (or 11348817 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1131312413241 its reverse (1423142131311), we get a palindrome (2554454544552).

The spelling of 1131312413241 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, four hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 11087 33261 99783 11337727 34013181 102039543 125701379249 377104137747 1131312413241