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11820813347 = 72172777723
BaseRepresentation
bin10110000001001001…
…10100110000100011
31010111210221112110202
423000210310300203
5143202112011342
65232545015415
7565634153450
oct130044646043
933453845422
1011820813347
1150165a5032
12235a92456b
131164cb6c15
14801cd6827
15492b78332
hex2c0934c23

11820813347 has 8 divisors (see below), whose sum is σ = 13510296576. Its totient is φ = 10131529032.

The previous prime is 11820813343. The next prime is 11820813353. The reversal of 11820813347 is 74331802811.

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 11820813347 - 22 = 11820813343 is a prime.

It is a super-3 number, since 3×118208133473 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11820813347.

It is not an unprimeable number, because it can be changed into a prime (11820813343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113228 + ... + 190950.

It is an arithmetic number, because the mean of its divisors is an integer number (1688787072).

Almost surely, 211820813347 is an apocalyptic number.

11820813347 is a deficient number, since it is larger than the sum of its proper divisors (1689483229).

11820813347 is an equidigital number, since it uses as much as digits as its factorization.

11820813347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99457.

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 11820813347 in words is "eleven billion, eight hundred twenty million, eight hundred thirteen thousand, three hundred forty-seven".

Divisors: 1 7 21727 77723 152089 544061 1688687621 11820813347