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200100100 = 22522817121
BaseRepresentation
bin10111110110101…
…00100100000100
3111221112010201211
423323110210010
5402211200400
631504501204
74646552134
oct1373244404
9457463654
10200100100
11a2a51192
125701a804
13325c0a35
141c80aac4
1512878dba
hexbed4904

200100100 has 36 divisors (see below), whose sum is σ = 435823668. Its totient is φ = 79744000.

The previous prime is 200100083. The next prime is 200100137. The reversal of 200100100 is 1001002.

It can be written as a sum of positive squares in 6 ways, for example, as 26071236 + 174028864 = 5106^2 + 13192^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

200100100 is a modest number, since divided by 100100 gives 200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 200100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24540 + ... + 31660.

It is an arithmetic number, because the mean of its divisors is an integer number (12106213).

Almost surely, 2200100100 is an apocalyptic number.

200100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100100 is an abundant number, since it is smaller than the sum of its proper divisors (235723568).

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

200100100 is a wasteful number, since it uses less digits than its factorization.

200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 200100100 is about 14145.6742504555. The cubic root of 200100100 is about 584.9010960952.

Adding to 200100100 its reverse (1001002), we get a palindrome (201101102).

The spelling of 200100100 in words is "two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 7121 14050 14242 28100 28484 35605 71210 142420 178025 356050 712100 2001001 4002002 8004004 10005005 20010010 40020020 50025025 100050050 200100100