Search a number
-
+
2011000119984 = 243287407159773
BaseRepresentation
bin11101010000111000111…
…100101010001010110000
321010020202001111211210100
4131100320330222022300
5230422012012314414
64135501331432400
7265201312660512
oct35207074521260
97106661454710
102011000119984
11705951160839
122858b3a55700
131178375014cb
146d493791bb2
153749da92609
hex1d438f2a2b0

2011000119984 has 60 divisors (see below), whose sum is σ = 5628106894176. Its totient is φ = 670321508736.

The previous prime is 2011000119979. The next prime is 2011000119991. The reversal of 2011000119984 is 4899110001102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12506722 + ... + 12666494.

Almost surely, 22011000119984 is an apocalyptic number.

2011000119984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011000119984 is an abundant number, since it is smaller than the sum of its proper divisors (3617106774192).

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

2011000119984 is a wasteful number, since it uses less digits than its factorization.

2011000119984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247194 (or 247185 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 2011000119984 in words is "two trillion, eleven billion, one hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 87407 159773 174814 262221 319546 349628 479319 524442 639092 699256 786663 958638 1048884 1278184 1398512 1437957 1573326 1917276 2097768 2556368 2875914 3146652 3834552 4195536 5751828 6293304 7669104 11503656 12586608 23007312 13965278611 27930557222 41895835833 55861114444 83791671666 111722228888 125687507499 167583343332 223444457776 251375014998 335166686664 502750029996 670333373328 1005500059992 2011000119984