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220323200003221 = 72947152315162347
BaseRepresentation
bin110010000110000111111110…
…000100100110110010010101
31001220002200200121220212101211
4302012013332010212302111
5212334233403200100341
62100331025241221421
764256553200131330
oct6206077604466225
91056080617825354
10220323200003221
11642245a9651467
1220864141a91871
1395c2508a19273
143c599b2295617
151a711a324e181
hexc861fe126c95

220323200003221 has 32 divisors (see below), whose sum is σ = 266197459415040. Its totient is φ = 178339756249536.

The previous prime is 220323200003219. The next prime is 220323200003227. The reversal of 220323200003221 is 122300002323022.

It is not a de Polignac number, because 220323200003221 - 21 = 220323200003219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220323200003192 and 220323200003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220323200003227) 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 31 ways as a sum of consecutive naturals, for example, 6949770 + ... + 22112116.

It is an arithmetic number, because the mean of its divisors is an integer number (8318670606720).

Almost surely, 2220323200003221 is an apocalyptic number.

It is an amenable number.

220323200003221 is a deficient number, since it is larger than the sum of its proper divisors (45874259411819).

220323200003221 is a wasteful number, since it uses less digits than its factorization.

220323200003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15163953.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 220323200003221 its reverse (122300002323022), we get a palindrome (342623202326243).

The spelling of 220323200003221 in words is "two hundred twenty trillion, three hundred twenty-three billion, two hundred million, three thousand, two hundred twenty-one".

Divisors: 1 7 29 47 203 329 1363 1523 9541 10661 44167 71581 309169 501067 2075849 14530943 15162347 106136429 439708063 712630309 3077956441 4988412163 20666278961 23092254481 144663952727 161645781367 669675379949 1085335960607 4687727659643 7597351724249 31474742857603 220323200003221