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5105105500 = 2253116311471
BaseRepresentation
bin1001100000100100…
…11011101001011100
3111011210011020012111
410300102123221130
540423401334000
62202324043404
7240336452335
oct46022335134
914153136174
105105105500
11218a776360
12ba5833564
1363486c1b1
1436602128c
151ed2b8cba
hex13049ba5c

5105105500 has 96 divisors (see below), whose sum is σ = 12190703616. Its totient is φ = 1852200000.

The previous prime is 5105105479. The next prime is 5105105519. The reversal of 5105105500 is 55015015.

It is a super-2 number, since 2×51051055002 = 52124204332260500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3469765 + ... + 3471235.

It is an arithmetic number, because the mean of its divisors is an integer number (126986496).

Almost surely, 25105105500 is an apocalyptic number.

5105105500 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 5105105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095351808).

5105105500 is an abundant number, since it is smaller than the sum of its proper divisors (7085598116).

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

5105105500 is a wasteful number, since it uses less digits than its factorization.

5105105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

The square root of 5105105500 is about 71450.0209936988. The cubic root of 5105105500 is about 1721.8748148063.

The spelling of 5105105500 in words is "five billion, one hundred five million, one hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 631 1100 1262 1375 1471 2524 2750 2942 3155 5500 5884 6310 6941 7355 12620 13882 14710 15775 16181 27764 29420 31550 32362 34705 36775 63100 64724 69410 73550 78875 80905 138820 147100 157750 161810 173525 183875 315500 323620 347050 367750 404525 694100 735500 809050 867625 928201 1618100 1735250 1856402 2022625 3470500 3712804 4045250 4641005 8090500 9282010 10210211 18564020 20420422 23205025 40840844 46410050 51051055 92820100 102102110 116025125 204204220 232050250 255255275 464100500 510510550 1021021100 1276276375 2552552750 5105105500