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11822128117 = 172039341059
BaseRepresentation
bin10110000001010011…
…10101101111110101
31010111220102022222221
423000221311233311
5143202431044432
65233033122341
7565651300552
oct130051655765
933456368887
1011822128117
115017312918
12235b2593b1
1311653574a7
14802159a29
15492d37b97
hex2c0a75bf5

11822128117 has 8 divisors (see below), whose sum is σ = 12523723200. Its totient is φ = 11121219264.

The previous prime is 11822128099. The next prime is 11822128141. The reversal of 11822128117 is 71182122811.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11822128117 is a prime.

It is a super-3 number, since 3×118221281173 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11822128147) 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 7 ways as a sum of consecutive naturals, for example, 135867 + ... + 205192.

It is an arithmetic number, because the mean of its divisors is an integer number (1565465400).

Almost surely, 211822128117 is an apocalyptic number.

11822128117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11822128117 is a deficient number, since it is larger than the sum of its proper divisors (701595083).

11822128117 is a wasteful number, since it uses less digits than its factorization.

11822128117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343115.

The product of its digits is 3584, while the sum is 34.

The spelling of 11822128117 in words is "eleven billion, eight hundred twenty-two million, one hundred twenty-eight thousand, one hundred seventeen".

Divisors: 1 17 2039 34663 341059 5798003 695419301 11822128117