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11011111110010 = 2511412719919091
BaseRepresentation
bin1010000000111011100101…
…0111011100010101111010
31102222122121021011112211101
42200032321113130111322
52420401223421010020
635230233513122014
72214345412103134
oct240167127342572
942878537145741
1011011111110010
113565871187360
12129a03a9b930a
1361b46038206b
142a0d250ca054
15141656d9500a
hexa03b95dc57a

11011111110010 has 128 divisors (see below), whose sum is σ = 22255791538176. Its totient is φ = 3887611200000.

The previous prime is 11011111109903. The next prime is 11011111110019. The reversal of 11011111110010 is 1001111111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11011111110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211205565 + ... + 1211214655.

It is an arithmetic number, because the mean of its divisors is an integer number (173873371392).

Almost surely, 211011111110010 is an apocalyptic number.

11011111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011111110010 is an abundant number, since it is smaller than the sum of its proper divisors (11244680428166).

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

11011111110010 is a wasteful number, since it uses less digits than its factorization.

11011111110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111110010 its reverse (1001111111011), we get a palindrome (12012222221021).

It can be divided in two parts, 1101 and 1111110010, that added together give a palindrome (1111111111).

The spelling of 11011111110010 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 271 410 451 542 902 991 1355 1982 2255 2710 2981 4510 4955 5962 9091 9910 10901 11111 14905 18182 21802 22222 29810 40631 45455 54505 55555 81262 90910 100001 109010 111110 122221 200002 203155 244442 268561 372731 406310 446941 500005 537122 611105 745462 893882 1000010 1222210 1342805 1863655 2234705 2463661 2685610 2954171 3727310 4100041 4469410 4927322 5908342 8200082 9009181 11011001 12318305 14770855 18018362 20500205 22022002 24636610 27100271 29541710 41000410 45045905 54200542 55055005 90091810 99100991 101010101 110110010 121121011 135501355 198201982 202020202 242242022 271002710 369376421 495504955 505050505 605605055 738752842 991009910 1010101010 1111111111 1211210110 1846882105 2222222222 2441488051 3693764210 4063140631 4882976102 5555555555 8126281262 11111111110 12207440255 20315703155 24414880510 26856368561 40631406310 53712737122 100101010091 134281842805 200202020182 268563685610 500505050455 1001010100910 1101111111001 2202222222002 5505555555005 11011111110010