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2113002300 = 2235219735753
BaseRepresentation
bin111110111110001…
…1101101100111100
312110020222122020110
41331330131230330
513311412033200
6545400550020
7103235136363
oct17574355474
95406878213
102113002300
119948099a2
124ab782310
132789c1126
141608b27da
15c5784b50
hex7df1db3c

2113002300 has 72 divisors (see below), whose sum is σ = 6144825456. Its totient is φ = 560591360.

The previous prime is 2113002299. The next prime is 2113002317. The reversal of 2113002300 is 32003112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 41224 + ... + 76976.

It is an arithmetic number, because the mean of its divisors is an integer number (85344798).

Almost surely, 22113002300 is an apocalyptic number.

2113002300 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 2113002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072412728).

2113002300 is an abundant number, since it is smaller than the sum of its proper divisors (4031823156).

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

2113002300 is a wasteful number, since it uses less digits than its factorization.

2113002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35967 (or 35960 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2113002300 is about 45967.4047559790. The cubic root of 2113002300 is about 1283.2166614947.

Adding to 2113002300 its reverse (32003112), we get a palindrome (2145005412).

The spelling of 2113002300 in words is "two billion, one hundred thirteen million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 35753 59100 71506 107259 143012 178765 214518 357530 429036 536295 715060 893825 1072590 1787650 2145180 2681475 3575300 5362950 7043341 10725900 14086682 21130023 28173364 35216705 42260046 70433410 84520092 105650115 140866820 176083525 211300230 352167050 422600460 528250575 704334100 1056501150 2113002300