Search a number
-
+
200011002000 = 2435333335167
BaseRepresentation
bin1011101001000110010…
…1011011000010010000
3201010021002222122101220
42322101211123002100
511234110304031000
6231514521525040
720310313315545
oct2722145330220
9633232878356
10200011002000
1177907aa6167
123291b343780
1315b266a1b34
149975746bcc
1553093e91a0
hex2e9195b090

200011002000 has 80 divisors (see below), whose sum is σ = 644835489792. Its totient is φ = 53336265600.

The previous prime is 200011001999. The next prime is 200011002013. The reversal of 200011002000 is 200110002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200011002000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16661584 + ... + 16673583.

Almost surely, 2200011002000 is an apocalyptic number.

200011002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011002000 is an abundant number, since it is smaller than the sum of its proper divisors (444824487792).

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

200011002000 is a wasteful number, since it uses less digits than its factorization.

200011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33335193 (or 33335177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200011002000 its reverse (200110002), we get a palindrome (200211112002).

The spelling of 200011002000 in words is "two hundred billion, eleven million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 33335167 66670334 100005501 133340668 166675835 200011002 266681336 333351670 400022004 500027505 533362672 666703340 800044008 833379175 1000055010 1333406680 1600088016 1666758350 2000110020 2500137525 2666813360 3333516700 4000220040 4166895875 5000275050 6667033400 8000440080 8333791750 10000550100 12500687625 13334066800 16667583500 20001100200 25001375250 33335167000 40002200400 50002750500 66670334000 100005501000 200011002000