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200100330 = 23259722921
BaseRepresentation
bin10111110110101…
…00100111101010
3111221112011001100
423323110213222
5402211202310
631504502230
74646552613
oct1373244752
9457464040
10200100330
11a2a51381
125701a976
13325c0b81
141c80ac0a
1512878ec0
hexbed49ea

200100330 has 48 divisors (see below), whose sum is σ = 525647304. Its totient is φ = 52807680.

The previous prime is 200100289. The next prime is 200100331. The reversal of 200100330 is 33001002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 153437769 + 46662561 = 12387^2 + 6831^2 .

It is a super-2 number, since 2×2001003302 = 80080284132217800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2731 + ... + 20190.

Almost surely, 2200100330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262823652).

200100330 is an abundant number, since it is smaller than the sum of its proper divisors (325546974).

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

200100330 is a wasteful number, since it uses less digits than its factorization.

200100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23031 (or 23028 counting only the distinct ones).

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

The square root of 200100330 is about 14145.6823801470. The cubic root of 200100330 is about 584.9013201951.

Adding to 200100330 its reverse (33001002), we get a palindrome (233101332).

The spelling of 200100330 in words is "two hundred million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 22921 45842 68763 114605 137526 206289 229210 343815 412578 687630 1031445 2062890 2223337 4446674 6670011 11116685 13340022 20010033 22233370 33350055 40020066 66700110 100050165 200100330