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11011010111028 = 223212171216320663
BaseRepresentation
bin1010000000111011001101…
…0110001010011000110100
31102222122100020010021021100
42200032303112022120310
52420401022042023103
635230215504250100
72214343044450354
oct240166326123064
942878306107240
1011011010111028
11356581a173324
12129a011010930
1361b44547b955
142a0d15918b64
1514164d0945a3
hexa03b358a634

11011010111028 has 72 divisors (see below), whose sum is σ = 27859895638848. Its totient is φ = 3666841832448.

The previous prime is 11011010110987. The next prime is 11011010111029. The reversal of 11011010111028 is 82011101011011.

It is a super-3 number, since 3×110110101110283 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11011010111028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011010111029) 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 23 ways as a sum of consecutive naturals, for example, 532875025 + ... + 532895687.

It is an arithmetic number, because the mean of its divisors is an integer number (386942994984).

Almost surely, 211011010111028 is an apocalyptic number.

11011010111028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11011010111028 is an abundant number, since it is smaller than the sum of its proper divisors (16848885527820).

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

11011010111028 is a wasteful number, since it uses less digits than its factorization.

11011010111028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34053 (or 34048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 11011010111028 its reverse (82011101011011), we get a palindrome (93022111122039).

The spelling of 11011010111028 in words is "eleven trillion, eleven billion, ten million, one hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1217 2434 3651 4868 7302 10953 12163 14604 20663 21906 24326 36489 41326 43812 48652 61989 72978 82652 109467 123978 145956 185967 218934 247956 371934 437868 743868 14802371 25146871 29604742 44407113 50293742 59209484 75440613 88814226 100587484 133221339 150881226 177628452 226321839 251324069 266442678 301762452 452643678 502648138 532885356 753972207 905287356 1005296276 1507944414 2261916621 3015888828 4523833242 9047666484 305861391973 611722783946 917584175919 1223445567892 1835168351838 2752752527757 3670336703676 5505505055514 11011010111028