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201023231321331 = 3334917823272621
BaseRepresentation
bin101101101101010001011110…
…010010110110010011110011
3222100202122002121212212212000
4231231101132102312103303
5202322031034204240311
61551312444135505043
760225310033121406
oct5555213622662363
9870678077785760
10201023231321331
1159063523463861
121a667795528183
1388225425193b3
14378d80d571d3d
1518391200aa056
hexb6d45e4b64f3

201023231321331 has 32 divisors (see below), whose sum is σ = 297936675671040. Its totient is φ = 133959481264800.

The previous prime is 201023231321299. The next prime is 201023231321369. The reversal of 201023231321331 is 133123132320102.

201023231321331 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 3 + 2 + 3 + 1 + 321 + 331 = 666.

It is not a de Polignac number, because 201023231321331 - 25 = 201023231321299 is a prime.

It is a super-2 number, since 2×2010232313213312 (a number of 29 digits) contains 22 as substring.

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 = 201023231321295 and 201023231321304.

It is not an unprimeable number, because it can be changed into a prime (201023231325331) 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, 737236201 + ... + 737508821.

It is an arithmetic number, because the mean of its divisors is an integer number (9310521114720).

Almost surely, 2201023231321331 is an apocalyptic number.

201023231321331 is a deficient number, since it is larger than the sum of its proper divisors (96913444349709).

201023231321331 is a wasteful number, since it uses less digits than its factorization.

201023231321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283944 (or 283938 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201023231321331 its reverse (133123132320102), we get a palindrome (334146363641433).

The spelling of 201023231321331 in words is "two hundred one trillion, twenty-three billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 3491 7823 10473 23469 31419 70407 94257 211221 272621 817863 2453589 7360767 27310093 81930279 245790837 737372511 951719911 2132714083 2855159733 6398142249 8565479199 19194426747 25696437597 57583280241 7445304863753 22335914591259 67007743773777 201023231321331