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7116101000 = 235325128351
BaseRepresentation
bin1101010000010011…
…10001010110001000
3200100221012101102022
412220021301112020
5104033210213000
63134042424012
7341225601101
oct65011612610
920327171368
107116101000
113021943008
121467202008
13895396268
144b713d3a8
152b9aee585
hex1a8271588

7116101000 has 64 divisors (see below), whose sum is σ = 16718607360. Its totient is φ = 2835000000.

The previous prime is 7116100987. The next prime is 7116101023. The reversal of 7116101000 is 1016117.

It is a self number, because there is not a number n which added to its sum of digits gives 7116101000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 236825 + ... + 265175.

It is an arithmetic number, because the mean of its divisors is an integer number (261228240).

Almost surely, 27116101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7116101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359303680).

7116101000 is an abundant number, since it is smaller than the sum of its proper divisors (9602506360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7116101000 is a wasteful number, since it uses less digits than its factorization.

7116101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28623 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 7116101000 is about 84356.9854843095. The cubic root of 7116101000 is about 1923.4491134799.

Adding to 7116101000 its reverse (1016117), we get a palindrome (7117117117).

The spelling of 7116101000 in words is "seven billion, one hundred sixteen million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 500 502 1000 1004 1255 2008 2510 5020 6275 10040 12550 25100 28351 31375 50200 56702 62750 113404 125500 141755 226808 251000 283510 567020 708775 1134040 1417550 2835100 3543875 5670200 7087750 7116101 14175500 14232202 28351000 28464404 35580505 56928808 71161010 142322020 177902525 284644040 355805050 711610100 889512625 1423220200 1779025250 3558050500 7116101000