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201002012404224 = 293472784269897
BaseRepresentation
bin101101101100111101101101…
…100011000110101000000000
3222100200121022211202012200020
4231230331231203012220000
5202321204110133413344
61551255014424453440
760223626150240333
oct5554755543065000
9870617284665606
10201002012404224
1159055524988329
121a66365331a280
138820540455a45
14378c79943461a
1518387cc318719
hexb6cf6d8c6a00

201002012404224 has 80 divisors (see below), whose sum is σ = 546875156285568. Its totient is φ = 65575124590592.

The previous prime is 201002012404223. The next prime is 201002012404253. The reversal of 201002012404224 is 422404210200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201002012404194 and 201002012404203.

It is not an unprimeable number, because it can be changed into a prime (201002012404223) 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, 1392062757 + ... + 1392207140.

Almost surely, 2201002012404224 is an apocalyptic number.

201002012404224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201002012404224 is an abundant number, since it is smaller than the sum of its proper divisors (345873143881344).

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

201002012404224 is an equidigital number, since it uses as much as digits as its factorization.

201002012404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784269965 (or 2784269949 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201002012404224 its reverse (422404210200102), we get a palindrome (623406222604326).

The spelling of 201002012404224 in words is "two hundred one trillion, two billion, twelve million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 2256 3008 4512 6016 9024 12032 18048 24064 36096 72192 2784269897 5568539794 8352809691 11137079588 16705619382 22274159176 33411238764 44548318352 66822477528 89096636704 130860685159 133644955056 178193273408 261721370318 267289910112 356386546816 392582055477 523442740636 534579820224 712773093632 785164110954 1046885481272 1069159640448 1425546187264 1570328221908 2093770962544 2138319280896 3140656443816 4187541925088 4276638561792 6281312887632 8375083850176 12562625775264 16750167700352 25125251550528 33500335400704 50250503101056 67000670801408 100501006202112 201002012404224