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100002000200 = 23521761347981
BaseRepresentation
bin101110100100010010…
…1010110110101001000
3100120010022101222000012
41131020211112311020
53114301003001300
6113535033531052
710140066655664
oct1351045266510
9316108358005
10100002000200
1139457581963
121746a573a88
13957905ccab
144ba94218a4
1529044d2435
hex1748956d48

100002000200 has 96 divisors (see below), whose sum is σ = 246588134760. Its totient is φ = 37585612800.

The previous prime is 100002000199. The next prime is 100002000209. The reversal of 100002000200 is 2000200001.

It can be written as a sum of positive squares in 12 ways, for example, as 876515236 + 99125484964 = 29606^2 + 314842^2 .

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

100002000200 is a modest number, since divided by 2000200 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100002000209) 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, 2060210 + ... + 2108190.

Almost surely, 2100002000200 is an apocalyptic number.

100002000200 is a gapful number since it is divisible by the number (10) 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 100002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123294067380).

100002000200 is an abundant number, since it is smaller than the sum of its proper divisors (146586134560).

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

100002000200 is a wasteful number, since it uses less digits than its factorization.

100002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48627 (or 48618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 100002000200 its reverse (2000200001), we get a palindrome (102002200201).

The spelling of 100002000200 in words is "one hundred billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 613 680 850 1226 1700 2452 3065 3400 4904 6130 10421 12260 15325 20842 24520 30650 41684 47981 52105 61300 83368 95962 104210 122600 191924 208420 239905 260525 383848 416840 479810 521050 815677 959620 1042100 1199525 1631354 1919240 2084200 2399050 3262708 4078385 4798100 6525416 8156770 9596200 16313540 20391925 29412353 32627080 40783850 58824706 81567700 117649412 147061765 163135400 235298824 294123530 500010001 588247060 735308825 1000020002 1176494120 1470617650 2000040004 2500050005 2941235300 4000080008 5000100010 5882470600 10000200020 12500250025 20000400040 25000500050 50001000100 100002000200