Search a number
-
+
221011112200110 = 235174127139002351
BaseRepresentation
bin110010010000001000101000…
…110101011000011110101110
31001222112110022102002020120020
4302100020220311120132232
5212432021224210400420
62102015034151103010
764360345251255351
oct6220105065303656
91058473272066506
10221011112200110
116446a3170a8731
1220955526371a66
139642348a8b68b
143c80dd0044298
151a84015ee0340
hexc90228d587ae

221011112200110 has 128 divisors (see below), whose sum is σ = 577449478545408. Its totient is φ = 53916848640000.

The previous prime is 221011112200079. The next prime is 221011112200111. The reversal of 221011112200110 is 11002211110122.

It is a happy number.

It is a super-2 number, since 2×2210111122001102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221011112200110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011112200111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13834566 + ... + 25167785.

It is an arithmetic number, because the mean of its divisors is an integer number (4511324051136).

Almost surely, 2221011112200110 is an apocalyptic number.

221011112200110 is an abundant number, since it is smaller than the sum of its proper divisors (356438366345298).

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

221011112200110 is a wasteful number, since it uses less digits than its factorization.

221011112200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39002690.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221011112200110 its reverse (11002211110122), we get a palindrome (232013323310232).

The spelling of 221011112200110 in words is "two hundred twenty-one trillion, eleven billion, one hundred twelve million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 271 410 510 542 615 697 813 1230 1355 1394 1626 2091 2710 3485 4065 4182 4607 6970 8130 9214 10455 11111 13821 20910 22222 23035 27642 33333 46070 55555 66666 69105 111110 138210 166665 188887 333330 377774 566661 944435 1133322 1888870 2833305 5666610 39002351 78004702 117007053 195011755 234014106 390023510 585035265 663039967 1170070530 1326079934 1599096391 1989119901 3198192782 3315199835 3978239802 4797289173 6630399670 7995481955 9594578346 9945599505 10569637121 15990963910 19891199010 21139274242 23986445865 27184638647 31708911363 47972891730 52848185605 54369277294 63417822726 81553915941 105696371210 135923193235 158544556815 163107831882 179683831057 271846386470 317089113630 359367662114 407769579705 433355121961 539051493171 815539159410 866710243922 898419155285 1078102986342 1300065365883 1796838310570 2166775609805 2600130731766 2695257465855 4333551219610 5390514931710 6500326829415 7367037073337 13000653658830 14734074146674 22101111220011 36835185366685 44202222440022 73670370733370 110505556100055 221011112200110