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200013300 = 2235528231
BaseRepresentation
bin10111110101111…
…11010111110100
3111221100201200000
423322333113310
5402200411200
631502551300
74646041104
oct1372772764
9457321600
10200013300
11a29a1a53
1256b98530
1332590386
141c7c7204
151285d300
hexbebf5f4

200013300 has 108 divisors (see below), whose sum is σ = 650229216. Its totient is φ = 53330400.

The previous prime is 200013299. The next prime is 200013301. The reversal of 200013300 is 3310002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200013299) and next prime (200013301).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20185 + ... + 28415.

Almost surely, 2200013300 is an apocalyptic number.

200013300 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 200013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325114608).

200013300 is an abundant number, since it is smaller than the sum of its proper divisors (450215916).

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

200013300 is a wasteful number, since it uses less digits than its factorization.

200013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 200013300 is about 14142.6058419232. The cubic root of 200013300 is about 584.8165105005.

Adding to 200013300 its reverse (3310002), we get a palindrome (203323302).

The spelling of 200013300 in words is "two hundred million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 8231 12150 16462 24300 24693 32924 41155 49386 74079 82310 98772 123465 148158 164620 205775 222237 246930 296316 370395 411550 444474 493860 617325 666711 740790 823100 888948 1111185 1234650 1333422 1481580 1851975 2000133 2222370 2469300 2666844 3333555 3703950 4000266 4444740 5555925 6667110 7407900 8000532 10000665 11111850 13334220 16667775 20001330 22223700 33335550 40002660 50003325 66671100 100006650 200013300