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11285167041 = 3212730373251
BaseRepresentation
bin10101000001010010…
…11111101111000001
31002010111000212212200
422200221133233001
5141103000321131
65103452143413
7546441223431
oct124051375701
932114025780
1011285167041
114871201035
12222b467b69
1310ab030b45
14790b022c1
15460b1d2e6
hex2a0a5fbc1

11285167041 has 24 divisors (see below), whose sum is σ = 16439614464. Its totient is φ = 7459452000.

The previous prime is 11285167037. The next prime is 11285167067. The reversal of 11285167041 is 14076158211.

11285167041 is a `hidden beast` number, since 11 + 28 + 516 + 70 + 41 = 666.

11285167041 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 11285167041 - 22 = 11285167037 is a prime.

It is a super-3 number, since 3×112851670413 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11285166987 and 11285167005.

It is not an unprimeable number, because it can be changed into a prime (11285167031) 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, 3469666 + ... + 3472916.

It is an arithmetic number, because the mean of its divisors is an integer number (684983936).

Almost surely, 211285167041 is an apocalyptic number.

It is an amenable number.

11285167041 is a deficient number, since it is larger than the sum of its proper divisors (5154447423).

11285167041 is a wasteful number, since it uses less digits than its factorization.

11285167041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11285167041 in words is "eleven billion, two hundred eighty-five million, one hundred sixty-seven thousand, forty-one".

Divisors: 1 3 9 127 381 1143 3037 3251 9111 9753 27333 29259 385699 412877 1157097 1238631 3471291 3715893 9873287 29619861 88859583 1253907449 3761722347 11285167041