Search a number
-
+
221131232201220 = 223511335047321517
BaseRepresentation
bin110010010001111000100000…
…100010110100101000000100
31001222221221100210001112122020
4302101320200202310220010
5212441003230420414340
62102150141411403140
764402130035365255
oct6221704042645004
91058857323045566
10221131232201220
1164506257775420
122097486a2b34b0
13965077caa0303
143c86b472a6b2c
151a871e679b9d0
hexc91e208b4a04

221131232201220 has 48 divisors (see below), whose sum is σ = 675455400180288. Its totient is φ = 53607571442560.

The previous prime is 221131232201141. The next prime is 221131232201263. The reversal of 221131232201220 is 22102232131122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167523660099 + ... + 167523661418.

It is an arithmetic number, because the mean of its divisors is an integer number (14071987503756).

Almost surely, 2221131232201220 is an apocalyptic number.

221131232201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131232201220 is an abundant number, since it is smaller than the sum of its proper divisors (454324167979068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221131232201220 is a wasteful number, since it uses less digits than its factorization.

221131232201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335047321540 (or 335047321538 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221131232201220 its reverse (22102232131122), we get a palindrome (243233464332342).

The spelling of 221131232201220 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 335047321517 670094643034 1005141964551 1340189286068 1675236607585 2010283929102 3350473215170 3685520536687 4020567858204 5025709822755 6700946430340 7371041073374 10051419645510 11056561610061 14742082146748 18427602683435 20102839291020 22113123220122 36855205366870 44226246440244 55282808050305 73710410733740 110565616100610 221131232201220