Search a number
-
+
220111000220111 = 7111319103213752579
BaseRepresentation
bin110010000011000010010101…
…111110101011000111001111
31001212100101222001120222122112
4302003002111332223013033
5212322244312024020421
62100045333023334235
764235331530545460
oct6203022576530717
91055311861528575
10220111000220111
1164152607384690
122082aba075137b
1395a84bc055c20
143c4d601c2cd67
151a6a8d3c4445b
hexc83095fab1cf

220111000220111 has 128 divisors (see below), whose sum is σ = 314261288140800. Its totient is φ = 148460351247360.

The previous prime is 220111000220101. The next prime is 220111000220119. The reversal of 220111000220111 is 111022000111022.

It is a cyclic number.

It is not a de Polignac number, because 220111000220111 - 234 = 220093820350927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111000220119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4186264820 + ... + 4186317398.

It is an arithmetic number, because the mean of its divisors is an integer number (2455166313600).

Almost surely, 2220111000220111 is an apocalyptic number.

220111000220111 is a deficient number, since it is larger than the sum of its proper divisors (94150287920689).

220111000220111 is a wasteful number, since it uses less digits than its factorization.

220111000220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54869.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220111000220111 its reverse (111022000111022), we get a palindrome (331133000331133).

The spelling of 220111000220111 in words is "two hundred twenty trillion, one hundred eleven billion, two hundred twenty thousand, one hundred eleven".

Divisors: 1 7 11 13 19 77 91 103 133 143 209 247 721 1001 1133 1339 1463 1729 1957 2137 2717 7931 9373 13699 14729 14959 19019 21527 23507 25441 27781 40603 52579 103103 150689 164549 178087 194467 220111 279851 284221 305591 368053 446633 527839 578369 683527 999001 1540777 1958957 2139137 2421221 2861443 3126431 3694873 4048583 4182109 4784689 5415637 5806229 6993007 7518797 10989011 12987013 16948547 20030101 29274763 31475873 37909459 40643603 46003199 52631579 54367417 59572007 70403281 76923077 90909091 102897103 112361323 142857143 220331111 322022393 380571919 417004049 492822967 598041587 720279721 774436091 786529261 1000000001 1131868133 1235974553 1337662339 1460697199 2134865137 4186291109 5421052637 7923076931 8651821871 9363636373 10224880393 11573216269 14714285729 14944055959 16067669189 23483516507 27753246781 81012513883 103000000103 112473684323 127305378959 150451811497 164384615549 194272727467 219891109111 305285714591 891137652713 1053162680479 1539237763777 1654969926467 2137000002137 2418802200221 2858584418443 11584789485269 16931615401547 20010090929101 31444428602873 220111000220111