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201002333232231 = 3337206467974507
BaseRepresentation
bin101101101100111110000000…
…101010111101110001100111
3222100200122011012102221222000
4231230332000222331301213
5202321210234301412411
61551255110325140343
760223640124235056
oct5554760052756147
9870618135387860
10201002333232231
1159055679a98143
121a66372285a6b3
138820591a66abb
14378c7c9caa39d
1518387ea58d956
hexb6cf80abdc67

201002333232231 has 32 divisors (see below), whose sum is σ = 305831170970880. Its totient is φ = 130379126555808.

The previous prime is 201002333232209. The next prime is 201002333232251. The reversal of 201002333232231 is 132232333200102.

201002333232231 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 2 + 3 + 332 + 322 + 3 + 1 = 666.

It is not a de Polignac number, because 201002333232231 - 26 = 201002333232167 is a prime.

It is a super-3 number, since 3×2010023332322313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201002333232195 and 201002333232204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002333232251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205773280 + ... + 206747786.

It is an arithmetic number, because the mean of its divisors is an integer number (9557224092840).

Almost surely, 2201002333232231 is an apocalyptic number.

201002333232231 is a deficient number, since it is larger than the sum of its proper divisors (104828837738649).

201002333232231 is a wasteful number, since it uses less digits than its factorization.

201002333232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181020 (or 1181014 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201002333232231 its reverse (132232333200102), we get a palindrome (333234666432333).

The spelling of 201002333232231 in words is "two hundred one trillion, two billion, three hundred thirty-three million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 206467 619401 974507 1858203 2923521 5574609 7639279 8770563 22917837 26311689 36056759 68753511 108170277 206260533 324510831 973532493 201203536769 603610610307 1810831830921 5432495492763 7444530860453 22333592581359 67000777744077 201002333232231