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11011022222010 = 23517412711943141
BaseRepresentation
bin1010000000111011010000…
…0100010111001010111010
31102222122101001220120102020
42200032310010113022322
52420401033142101020
635230221020015310
72214343252421346
oct240166404271272
942878331816366
1011011022222010
113565825a954a8
12129a015091536
1361b447b2c305
142a0d1738c626
1514164e187c40
hexa03b41172ba

11011022222010 has 128 divisors (see below), whose sum is σ = 28769196653568. Its totient is φ = 2686196736000.

The previous prime is 11011022221967. The next prime is 11011022222041. The reversal of 11011022222010 is 1022222011011.

It is a super-2 number, since 2×110110222220102 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4695040 + ... + 6638180.

It is an arithmetic number, because the mean of its divisors is an integer number (224759348856).

Almost surely, 211011022222010 is an apocalyptic number.

11011022222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011022222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384598326784).

11011022222010 is an abundant number, since it is smaller than the sum of its proper divisors (17758174431558).

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

11011022222010 is a wasteful number, since it uses less digits than its factorization.

11011022222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943480.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11011022222010 its reverse (1022222011011), we get a palindrome (12033244233021).

The spelling of 11011022222010 in words is "eleven trillion, eleven billion, twenty-two million, two hundred twenty-two thousand, 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 1943141 2833305 3886282 5666610 5829423 9715705 11658846 19431410 29147115 33033397 58294230 66066794 79668781 99100191 159337562 165166985 198200382 239006343 330333970 398343905 478012686 495500955 526591211 796687810 991001910 1053182422 1195031715 1354369277 1579773633 2390063430 2632956055 2708738554 3159547266 4063107831 5265912110 6771846385 7898868165 8126215662 8952050587 13543692770 15797736330 17904101174 20315539155 21590239651 26856151761 40631078310 43180479302 44760252935 53712303522 64770718953 89520505870 107951198255 129541437906 134280758805 215902396510 268561517610 323853594765 367034074067 647707189530 734068148134 1101102222201 1835170370335 2202204444402 3670340740670 5505511111005 11011022222010