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11057000149 = 131018421173
BaseRepresentation
bin10100100110000110…
…00110111011010101
31001112120200210202001
422103003012323111
5140121043001044
65025101515301
7541000644016
oct122303067325
931476623661
1011057000149
11476442a958
122186b72b31
131072994050
1476c6ab00d
1544aa9d2d4
hex2930c6ed5

11057000149 has 8 divisors (see below), whose sum is σ = 12025436472. Its totient is φ = 10105406400.

The previous prime is 11057000147. The next prime is 11057000267. The reversal of 11057000149 is 94100075011.

11057000149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4686087025 + 6370913124 = 68455^2 + 79818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11057000149 - 21 = 11057000147 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057000147) 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 7 ways as a sum of consecutive naturals, for example, 4209274 + ... + 4211899.

It is an arithmetic number, because the mean of its divisors is an integer number (1503179559).

Almost surely, 211057000149 is an apocalyptic number.

It is an amenable number.

11057000149 is a deficient number, since it is larger than the sum of its proper divisors (968436323).

11057000149 is a wasteful number, since it uses less digits than its factorization.

11057000149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421287.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 11057000149 in words is "eleven billion, fifty-seven million, one hundred forty-nine", and thus it is an aban number.

Divisors: 1 13 101 1313 8421173 109475249 850538473 11057000149