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11133531441 = 3219157414703
BaseRepresentation
bin10100101111001110…
…00011010100110001
31001201220200222221100
422113213003110301
5140300141001231
65040434115013
7542620312224
oct122747032461
931656628840
1011133531441
1147a3651a5a
1221a871ba69
1310857ab636
1477890d5bb
154526691e6
hex2979c3531

11133531441 has 24 divisors (see below), whose sum is σ = 17036040320. Its totient is φ = 6986899296.

The previous prime is 11133531413. The next prime is 11133531529. The reversal of 11133531441 is 14413533111.

11133531441 is a `hidden beast` number, since 1 + 11 + 335 + 314 + 4 + 1 = 666.

11133531441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11133531441 - 27 = 11133531313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11133531641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180505 + ... + 234198.

Almost surely, 211133531441 is an apocalyptic number.

It is an amenable number.

11133531441 is a deficient number, since it is larger than the sum of its proper divisors (5902508879).

11133531441 is a wasteful number, since it uses less digits than its factorization.

11133531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414885 (or 414882 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The spelling of 11133531441 in words is "eleven billion, one hundred thirty-three million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 19 57 157 171 471 1413 2983 8949 26847 414703 1244109 3732327 7879357 23638071 65108371 70914213 195325113 585975339 1237059049 3711177147 11133531441