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1111011101112 = 23311101179232777
BaseRepresentation
bin10000001010101101011…
…011000000100110111000
310221012201021101122211110
4100022231123000212320
5121200322320213422
62210220315400320
7143160614354103
oct20125533004670
93835637348743
101111011101112
113991a4891260
1215b3a34530a0
13809ca0bb713
143bab7a2773a
151dd774d460c
hex102ad6c09b8

1111011101112 has 128 divisors (see below), whose sum is σ = 3077138937600. Its totient is φ = 331473024000.

The previous prime is 1111011101089. The next prime is 1111011101113. The reversal of 1111011101112 is 2111011101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111011101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4656468 + ... + 4889244.

It is an arithmetic number, because the mean of its divisors is an integer number (24040147950).

Almost surely, 21111011101112 is an apocalyptic number.

1111011101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111011101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538569468800).

1111011101112 is an abundant number, since it is smaller than the sum of its proper divisors (1966127836488).

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

1111011101112 is a wasteful number, since it uses less digits than its factorization.

1111011101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233077 (or 233073 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1111011101112 its reverse (2111011101111), we get a palindrome (3222022202223).

Subtracting 1111011101112 from its reverse (2111011101111), we obtain a palindrome (999999999999).

The spelling of 1111011101112 in words is "one trillion, one hundred eleven billion, eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 179 202 264 303 358 404 537 606 716 808 1074 1111 1212 1432 1969 2148 2222 2424 3333 3938 4296 4444 5907 6666 7876 8888 11814 13332 15752 18079 23628 26664 36158 47256 54237 72316 108474 144632 198869 216948 232777 397738 433896 465554 596607 698331 795476 931108 1193214 1396662 1590952 1862216 2386428 2560547 2793324 4772856 5121094 5586648 7681641 10242188 15363282 20484376 23510477 30726564 41667083 47020954 61453128 70531431 83334166 94041908 125001249 141062862 166668332 188083816 250002498 258615247 282125724 333336664 458337913 500004996 517230494 564251448 775845741 916675826 1000009992 1034460988 1375013739 1551691482 1833351652 2068921976 2750027478 3103382964 3666703304 4208375383 5500054956 6206765928 8416750766 11000109912 12625126149 16833501532 25250252298 33667003064 46292129213 50500504596 92584258426 101001009192 138876387639 185168516852 277752775278 370337033704 555505550556 1111011101112