Search a number
-
+
201001201022112 = 2532201395114819
BaseRepresentation
bin101101101100111100111101…
…001011111011010010100000
3222100200112020021222201122220
4231230330331023323102200
5202321200424430201422
61551254402122031040
760223600065506661
oct5554747513732240
9870615207881586
10201001201022112
11590551489829a7
121a663467648480
13882044131919a
14378c71d785368
151838780e93e5c
hexb6cf3d2fb4a0

201001201022112 has 48 divisors (see below), whose sum is σ = 527652127164960. Its totient is φ = 66997355962112.

The previous prime is 201001201022081. The next prime is 201001201022177. The reversal of 201001201022112 is 211220102100102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2010012010221122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001201022091 and 201001201022100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45444162 + ... + 49670657.

It is an arithmetic number, because the mean of its divisors is an integer number (10992752649270).

Almost surely, 2201001201022112 is an apocalyptic number.

It is an amenable number.

201001201022112 is an abundant number, since it is smaller than the sum of its proper divisors (326650926142848).

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

201001201022112 is a wasteful number, since it uses less digits than its factorization.

201001201022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95136845 (or 95136837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201001201022112 its reverse (211220102100102), we get a palindrome (412221303122214).

The spelling of 201001201022112 in words is "two hundred one trillion, one billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22013 44026 66039 88052 132078 176104 264156 352208 528312 704416 1056624 2113248 95114819 190229638 285344457 380459276 570688914 760918552 1141377828 1521837104 2282755656 3043674208 4565511312 9131022624 2093762510647 4187525021294 6281287531941 8375050042588 12562575063882 16750100085176 25125150127764 33500200170352 50250300255528 67000400340704 100500600511056 201001201022112