Search a number
-
+
200001000100 = 225211181819091
BaseRepresentation
bin1011101001000011111…
…1010001001010100100
3201010020102011111101011
42322100333101022210
511234100224000400
6231513523312004
720310132310516
oct2722077211244
9633212144334
10200001000100
1177902394630
1232917b1b604
1315b245ac455
1499742a1bb6
1553085c08ba
hex2e90fd12a4

200001000100 has 36 divisors (see below), whose sum is σ = 473456915568. Its totient is φ = 72727636000.

The previous prime is 200001000079. The next prime is 200001000109. The reversal of 200001000100 is 1000100002.

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

200001000100 is a modest number, since divided by 1000100 gives 2000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 200001000100.

It is not an unprimeable number, because it can be changed into a prime (200001000109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90908446 + ... + 90910645.

It is an arithmetic number, because the mean of its divisors is an integer number (13151580988).

Almost surely, 2200001000100 is an apocalyptic number.

200001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001000100 is an abundant number, since it is smaller than the sum of its proper divisors (273455915468).

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

200001000100 is a wasteful number, since it uses less digits than its factorization.

200001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181819116 (or 181819109 counting only the distinct ones).

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

Adding to 200001000100 its reverse (1000100002), we get a palindrome (201001100102).

It can be divided in two parts, 20000 and 1000100, that added together give a square (1020100 = 10102).

The spelling of 200001000100 in words is "two hundred billion, one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 181819091 363638182 727276364 909095455 1818190910 2000010001 3636381820 4000020002 4545477275 8000040004 9090954550 10000050005 18181909100 20000100010 40000200020 50000250025 100000500050 200001000100