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320031010033 = 71072691588393
BaseRepresentation
bin1001010100000110101…
…01011010110011110001
31010121001111210202202121
410222003111122303301
520220410414310113
6403004211114241
732056444462450
oct4520325326361
91117044722677
10320031010033
111137a7186649
12520358a2981
1324242a73177
14116bd5bab97
1584d1002e8d
hex4a8355acf1

320031010033 has 16 divisors (see below), whose sum is σ = 370540552320. Its totient is φ = 270738239616.

The previous prime is 320031010021. The next prime is 320031010063. The reversal of 320031010033 is 330010130023.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320031010033 is a prime.

It is a super-2 number, since 2×3200310100332 (a number of 24 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 = 320031009989 and 320031010016.

It is not an unprimeable number, because it can be changed into a prime (320031010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592716 + ... + 995677.

It is an arithmetic number, because the mean of its divisors is an integer number (23158784520).

Almost surely, 2320031010033 is an apocalyptic number.

It is an amenable number.

320031010033 is a deficient number, since it is larger than the sum of its proper divisors (50509542287).

320031010033 is a wasteful number, since it uses less digits than its factorization.

320031010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588776.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 320031010033 its reverse (330010130023), we get a palindrome (650041140056).

The spelling of 320031010033 in words is "three hundred twenty billion, thirty-one million, ten thousand, thirty-three".

Divisors: 1 7 107 269 749 1883 28783 201481 1588393 11118751 169958051 427277717 1189706357 2990944019 45718715719 320031010033