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5110111000 = 23538116301
BaseRepresentation
bin1001100001001011…
…00001101100011000
3111012010120112110101
410300211201230120
540431142023000
62203023225144
7240430140541
oct46045415430
914163515411
105110111000
112192585035
12ba74481b4
13635902627
143669654c8
151ed956e6a
hex130961b18

5110111000 has 64 divisors (see below), whose sum is σ = 11974304160. Its totient is φ = 2041200000.

The previous prime is 5110110983. The next prime is 5110111001. The reversal of 5110111000 is 1110115.

It is a super-2 number, since 2×51101110002 = 52226468864642000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110111001) 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 15 ways as a sum of consecutive naturals, for example, 807850 + ... + 814150.

Almost surely, 25110111000 is an apocalyptic number.

5110111000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987152080).

5110111000 is an abundant number, since it is smaller than the sum of its proper divisors (6864193160).

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

5110111000 is a wasteful number, since it uses less digits than its factorization.

5110111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 5110111000 is about 71485.0403930780. The cubic root of 5110111000 is about 1722.4373907755.

Adding to 5110111000 its reverse (1110115), we get a palindrome (5111221115).

The spelling of 5110111000 in words is "five billion, one hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 811 1000 1622 3244 4055 6301 6488 8110 12602 16220 20275 25204 31505 32440 40550 50408 63010 81100 101375 126020 157525 162200 202750 252040 315050 405500 630100 787625 811000 1260200 1575250 3150500 5110111 6301000 10220222 20440444 25550555 40880888 51101110 102202220 127752775 204404440 255505550 511011100 638763875 1022022200 1277527750 2555055500 5110111000