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2300314100 = 225277941597
BaseRepresentation
bin1000100100011100…
…0000000111110100
312221022110001201112
42021013000013310
514202340022400
61020131414152
7111001230050
oct21107000764
95838401645
102300314100
11a80516037
12542454358
132a8755106
1417b710c60
15d6e34835
hex891c01f4

2300314100 has 72 divisors (see below), whose sum is σ = 5777130240. Its totient is φ = 778677120.

The previous prime is 2300314099. The next prime is 2300314117. The reversal of 2300314100 is 14130032.

It is a super-3 number, since 3×23003141003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34502 + ... + 76098.

It is an arithmetic number, because the mean of its divisors is an integer number (80237920).

Almost surely, 22300314100 is an apocalyptic number.

2300314100 is a gapful number since it is divisible by the number (20) 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 2300314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888565120).

2300314100 is an abundant number, since it is smaller than the sum of its proper divisors (3476816140).

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

2300314100 is a wasteful number, since it uses less digits than its factorization.

2300314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41697 (or 41690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2300314100 is about 47961.5898402044. The cubic root of 2300314100 is about 1320.0662080351.

Adding to 2300314100 its reverse (14130032), we get a palindrome (2314444132).

The spelling of 2300314100 in words is "two billion, three hundred million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2765 3950 5530 7900 11060 13825 27650 41597 55300 83194 166388 207985 291179 415970 582358 831940 1039925 1164716 1455895 2079850 2911790 3286163 4159700 5823580 6572326 7279475 13144652 14558950 16430815 23003141 29117900 32861630 46006282 65723260 82154075 92012564 115015705 164308150 230031410 328616300 460062820 575078525 1150157050 2300314100