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320032021 = 17103193947
BaseRepresentation
bin10011000100110…
…100110100010101
3211022012022101211
4103010310310111
51123412011041
651431221421
710634140651
oct2304646425
9738168354
10320032021
11154716881
128b217871
13513c297a
1430709a61
151d169481
hex13134d15

320032021 has 16 divisors (see below), whose sum is σ = 344283264. Its totient is φ = 296423424.

The previous prime is 320032007. The next prime is 320032033. The reversal of 320032021 is 120230023.

It is a happy number.

It is not a de Polignac number, because 320032021 - 213 = 320023829 is a prime.

It is a super-3 number, since 3×3200320213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320031992 and 320032010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320032061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337470 + ... + 338416.

It is an arithmetic number, because the mean of its divisors is an integer number (21517704).

Almost surely, 2320032021 is an apocalyptic number.

It is an amenable number.

320032021 is a deficient number, since it is larger than the sum of its proper divisors (24251243).

320032021 is a wasteful number, since it uses less digits than its factorization.

320032021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 320032021 is about 17889.4388117682. The cubic root of 320032021 is about 684.0131925513.

Adding to 320032021 its reverse (120230023), we get a palindrome (440262044).

The spelling of 320032021 in words is "three hundred twenty million, thirty-two thousand, twenty-one".

Divisors: 1 17 103 193 947 1751 3281 16099 19879 97541 182771 337943 1658197 3107107 18825413 320032021