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323023211023221 = 32268913347515021
BaseRepresentation
bin100100101110010011011001…
…1101111110100101101110101
31120100201201100222022111222200
41021130212303233310231311
5314314403014010220341
63103002451534415113
7125016441204303522
oct11134466357645565
91510651328274880
10323023211023221
1193a1a413474555
123029008b961499
1310b31c5bc213c7
1459aa59a4ca149
152752895a2ddb6
hex125c9b3bf4b75

323023211023221 has 12 divisors (see below), whose sum is σ = 466762600319340. Its totient is φ = 215268722242560.

The previous prime is 323023211023207. The next prime is 323023211023241. The reversal of 323023211023221 is 122320112320323.

323023211023221 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 2 + 321 + 10 + 2 + 322 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97123212822321 + 225899998200900 = 9855111^2 + 15029970^2 .

It is not a de Polignac number, because 323023211023221 - 215 = 323023210990453 is a prime.

It is a super-3 number, since 3×3230232110232213 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323023211023241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6673733310 + ... + 6673781711.

It is an arithmetic number, because the mean of its divisors is an integer number (38896883359945).

Almost surely, 2323023211023221 is an apocalyptic number.

It is an amenable number.

323023211023221 is a deficient number, since it is larger than the sum of its proper divisors (143739389296119).

323023211023221 is a wasteful number, since it uses less digits than its factorization.

323023211023221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347517716 (or 13347517713 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323023211023221 its reverse (122320112320323), we get a palindrome (445343323343544).

The spelling of 323023211023221 in words is "three hundred twenty-three trillion, twenty-three billion, two hundred eleven million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 2689 8067 24201 13347515021 40042545063 120127635189 35891467891469 107674403674407 323023211023221