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203023215441 = 3227298266081
BaseRepresentation
bin1011110100010100100…
…0000110101101010001
3201102001000222221102200
42331011020012231101
511311242420343231
6233133444033413
720445050600124
oct2750510065521
9642030887380
10203023215441
1179113348762
1233420092869
13161b6771557
149b7d80c3bb
155433aa1be6
hex2f45206b51

203023215441 has 12 divisors (see below), whose sum is σ = 293363250180. Its totient is φ = 135299197440.

The previous prime is 203023215389. The next prime is 203023215481. The reversal of 203023215441 is 144512320302.

203023215441 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 2 + 3 + 215 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161978076225 + 41045139216 = 402465^2 + 202596^2 .

It is not a de Polignac number, because 203023215441 - 225 = 202989661009 is a prime.

It is a super-3 number, since 3×2030232154413 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203023215481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4108480 + ... + 4157601.

It is an arithmetic number, because the mean of its divisors is an integer number (24446937515).

Almost surely, 2203023215441 is an apocalyptic number.

It is an amenable number.

203023215441 is a deficient number, since it is larger than the sum of its proper divisors (90340034739).

203023215441 is a wasteful number, since it uses less digits than its factorization.

203023215441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268816 (or 8268813 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 203023215441 its reverse (144512320302), we get a palindrome (347535535743).

The spelling of 203023215441 in words is "two hundred three billion, twenty-three million, two hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 2729 8187 24561 8266081 24798243 74394729 22558135049 67674405147 203023215441