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200011000100 = 22525413697061
BaseRepresentation
bin1011101001000110010…
…1011010100100100100
3201010021002222112210112
42322101211122210210
511234110304000400
6231514521512152
720310313310162
oct2722145324444
9633232875715
10200011000100
1177907aa479a
123291b342658
1315b266a1002
149975746232
1553093e8835
hex2e9195a924

200011000100 has 36 divisors (see below), whose sum is σ = 434826250068. Its totient is φ = 79856496000.

The previous prime is 200011000093. The next prime is 200011000127. The reversal of 200011000100 is 1000110002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 902281444 + 199108718656 = 30038^2 + 446216^2 .

It is a super-2 number, since 2×2000110001002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1794431 + ... + 1902630.

Almost surely, 2200011000100 is an apocalyptic number.

200011000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011000100 is an abundant number, since it is smaller than the sum of its proper divisors (234815249968).

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

200011000100 is a wasteful number, since it uses less digits than its factorization.

200011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697616 (or 3697609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 200011000100 its reverse (1000110002), we get a palindrome (201011110102).

The spelling of 200011000100 in words is "two hundred billion, eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 541 1082 2164 2705 5410 10820 13525 27050 54100 3697061 7394122 14788244 18485305 36970610 73941220 92426525 184853050 369706100 2000110001 4000220002 8000440004 10000550005 20001100010 40002200020 50002750025 100005500050 200011000100