Search a number
-
+
221200020220201 = 1119231011913137621
BaseRepresentation
bin110010010010111000100100…
…101000010010100100101001
31002000012111220201211222002221
4302102320210220102210221
5212443120120134021301
62102241515245354041
764410113465036461
oct6222704450224451
91060174821758087
10221200020220201
1164532446818190
1220986067268921
1396570c30ba019
143c8a1d0d50ba1
151a88dc07a6da1
hexc92e24a12929

221200020220201 has 128 divisors (see below), whose sum is σ = 269974332702720. Its totient is φ = 178878585600000.

The previous prime is 221200020220199. The next prime is 221200020220259. The reversal of 221200020220201 is 102022020002122.

It is not a de Polignac number, because 221200020220201 - 21 = 221200020220199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221200020226201) 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 127 ways as a sum of consecutive naturals, for example, 29025061171 + ... + 29025068791.

It is an arithmetic number, because the mean of its divisors is an integer number (2109174474240).

Almost surely, 2221200020220201 is an apocalyptic number.

It is an amenable number.

221200020220201 is a deficient number, since it is larger than the sum of its proper divisors (48774312482519).

221200020220201 is a wasteful number, since it uses less digits than its factorization.

221200020220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221200020220201 its reverse (102022020002122), we get a palindrome (323222040222323).

The spelling of 221200020220201 in words is "two hundred twenty-one trillion, two hundred billion, twenty million, two hundred twenty thousand, two hundred one".

Divisors: 1 11 19 23 101 191 209 253 313 437 1111 1919 2101 2323 3443 3629 4393 4807 5947 7199 7621 19291 21109 25553 31613 39919 44137 48323 59783 65417 79189 83467 83831 136781 144799 175283 212201 347743 366529 443693 485507 600647 657613 727099 769721 918137 1135877 1375009 1455611 1504591 1592789 1928113 2385373 3330377 4031819 4880623 6038083 6607117 7998089 8430167 8466931 12494647 13814881 14624699 15125099 16011721 17703583 26125171 26239103 27656609 33479053 36634147 45322087 54863579 66418913 92731837 114723577 138875909 147016711 151963691 160871689 194739413 240922673 287376881 304222699 336368077 368269583 455606243 498542957 603499369 636102007 1042408001 1261959347 1527634999 1617183821 2638642271 2650149403 2793317509 3381384353 3700048847 4577530787 5011668673 5541221479 6997122077 8656518617 10478943589 11466488011 29025064981 30726492599 37195227883 46016230543 50352838657 60953436269 64246302707 95221704787 105283208101 115268379479 199099928191 506178535973 706709329777 874308380317 1058373302489 1158115289111 2190099210101 9617392183487 11642106327379 20109092747291 221200020220201