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320231202120133 = 1133233818763361
BaseRepresentation
bin100100011001111111010001…
…1000011000110000111000101
31112222211210201001222201012021
41020303332203003012013011
5313433132000220321013
63053024103334123141
7124310640500223163
oct11063764303060705
91488753631881167
10320231202120133
11930433212063a7
122babab517b04b1
131098b8991572a5
1459113b6b02233
152704e3609ba8d
hex1233fa30c61c5

320231202120133 has 8 divisors (see below), whose sum is σ = 323066142452376. Its totient is φ = 317396279961600.

The previous prime is 320231202120043. The next prime is 320231202120199. The reversal of 320231202120133 is 331021202132023.

It can be written as a sum of positive squares in 4 ways, for example, as 2273873995969 + 317957328124164 = 1507937^2 + 17831358^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320231202120133 is a prime.

It is a super-2 number, since 2×3202312021201332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320231202120098 and 320231202120107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320231202120833) 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, 32160373 + ... + 40923733.

It is an arithmetic number, because the mean of its divisors is an integer number (40383267806547).

Almost surely, 2320231202120133 is an apocalyptic number.

It is an amenable number.

320231202120133 is a deficient number, since it is larger than the sum of its proper divisors (2834940332243).

320231202120133 is a wasteful number, since it uses less digits than its factorization.

320231202120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086855.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 320231202120133 its reverse (331021202132023), we get a palindrome (651252404252156).

The spelling of 320231202120133 in words is "three hundred twenty trillion, two hundred thirty-one billion, two hundred two million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 113 323381 8763361 36542053 990259793 2833904443541 320231202120133