Search a number
-
+
221022112200012 = 2235297841000149
BaseRepresentation
bin110010010000010010111000…
…011111000011010101001100
31001222120111201000112010200000
4302100102320133003111030
5212432211241210400022
62102024053455204300
764361214660601044
oct6220227037032514
91058514630463600
10221022112200012
1164473a51336442
1220957696216690
1396433ac9b5c66
143c81754d14724
151a8445ba7e6ac
hexc904b87c354c

221022112200012 has 72 divisors (see below), whose sum is σ = 599366051466000. Its totient is φ = 71133553342656.

The previous prime is 221022112199953. The next prime is 221022112200083. The reversal of 221022112200012 is 210002211220122.

It is a happy number.

221022112200012 is a `hidden beast` number, since 2 + 210 + 221 + 1 + 220 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3920471887 + ... + 3920528262.

Almost surely, 2221022112200012 is an apocalyptic number.

It is an amenable number.

221022112200012 is an abundant number, since it is smaller than the sum of its proper divisors (378343939265988).

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

221022112200012 is a wasteful number, since it uses less digits than its factorization.

221022112200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841000197 (or 7841000183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022112200012 its reverse (210002211220122), we get a palindrome (431024323420134).

The spelling of 221022112200012 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188 7841000149 15682000298 23523000447 31364000596 47046000894 70569001341 94092001788 141138002682 211707004023 227389004321 282276005364 423414008046 454778008642 635121012069 682167012963 846828016092 909556017284 1270242024138 1364334025926 1905363036207 2046501038889 2540484048276 2728668051852 3810726072414 4093002077778 6139503116667 7621452144828 8186004155556 12279006233334 18418509350001 24558012466668 36837018700002 55255528050003 73674037400004 110511056100006 221022112200012