Search a number
-
+
201110002202112 = 293177701823001
BaseRepresentation
bin101101101110100010010010…
…001111011111011000000000
3222101001221001211121100011020
4231232202102033133120000
5202324441241030431422
61551420354244545440
760234501222335253
oct5556422217373000
9871057054540136
10201110002202112
1159097300352883
121a6805709b2280
13882a790345a33
143793ac166509a
15183b4ecbd595c
hexb6e8923df600

201110002202112 has 80 divisors (see below), whose sum is σ = 567285475035312. Its totient is φ = 63093334016000.

The previous prime is 201110002202107. The next prime is 201110002202117. The reversal of 201110002202112 is 211202200011102.

It is an interprime number because it is at equal distance from previous prime (201110002202107) and next prime (201110002202117).

It is a junction number, because it is equal to n+sod(n) for n = 201110002202091 and 201110002202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110002202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3850885389 + ... + 3850937612.

Almost surely, 2201110002202112 is an apocalyptic number.

It is an amenable number.

201110002202112 is an abundant number, since it is smaller than the sum of its proper divisors (366175472833200).

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

201110002202112 is an equidigital number, since it uses as much as digits as its factorization.

201110002202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701823039 (or 7701823023 counting only the distinct ones).

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

Adding to 201110002202112 its reverse (211202200011102), we get a palindrome (412312202213214).

The spelling of 201110002202112 in words is "two hundred one trillion, one hundred ten billion, two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 13056 26112 7701823001 15403646002 23105469003 30807292004 46210938006 61614584008 92421876012 123229168016 130930991017 184843752024 246458336032 261861982034 369687504048 392792973051 492916672064 523723964068 739375008096 785585946102 985833344128 1047447928136 1478750016192 1571171892204 1971666688256 2094895856272 2957500032384 3142343784408 3943333376512 4189791712544 5915000064768 6284687568816 8379583425088 11830000129536 12569375137632 16759166850176 25138750275264 33518333700352 50277500550528 67036667400704 100555001101056 201110002202112