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16693131 = 3713471301
BaseRepresentation
bin111111101011…
…011110001011
31011102002200010
4333223132023
513233140011
61353443003
7261614010
oct77533613
934362603
1016693131
119471884
125710463
1335c61c0
142307707
1516eb1a6
hexfeb78b

16693131 has 32 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 8611200.

The previous prime is 16693123. The next prime is 16693139. The reversal of 16693131 is 13139661.

It is an interprime number because it is at equal distance from previous prime (16693123) and next prime (16693139).

It is not a de Polignac number, because 16693131 - 23 = 16693123 is a prime.

It is a super-2 number, since 2×166931312 = 557321245166322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (16693139) 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 31 ways as a sum of consecutive naturals, for example, 12181 + ... + 13481.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 216693131 is an apocalyptic number.

16693131 is a deficient number, since it is larger than the sum of its proper divisors (11305077).

16693131 is a wasteful number, since it uses less digits than its factorization.

16693131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371.

The product of its digits is 2916, while the sum is 30.

The square root of 16693131 is about 4085.7228246664. The cubic root of 16693131 is about 255.5716050902.

The spelling of 16693131 in words is "sixteen million, six hundred ninety-three thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 47 91 141 273 329 611 987 1301 1833 3903 4277 9107 12831 16913 27321 50739 61147 118391 183441 355173 428029 794911 1284087 2384733 5564377 16693131