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1110020111112 = 2331171113524071
BaseRepresentation
bin10000001001110010010…
…110101011101100001000
310221010011012200011010010
4100021302112223230020
5121141310122023422
62205534115151520
7143124222160323
oct20116226535410
93833135604103
101110020111112
11398836461860
1215b1675a55a0
138089c9b75c3
143ba221837ba
151dd1a4d2b0c
hex102725abb08

1110020111112 has 128 divisors (see below), whose sum is σ = 3097139742720. Its totient is φ = 328696704000.

The previous prime is 1110020111077. The next prime is 1110020111113. The reversal of 1110020111112 is 2111110200111.

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

It is not an unprimeable number, because it can be changed into a prime (1110020111113) 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, 1856037 + ... + 2380107.

It is an arithmetic number, because the mean of its divisors is an integer number (24196404240).

Almost surely, 21110020111112 is an apocalyptic number.

1110020111112 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 1110020111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548569871360).

1110020111112 is an abundant number, since it is smaller than the sum of its proper divisors (1987119631608).

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

1110020111112 is a wasteful number, since it uses less digits than its factorization.

1110020111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524275 (or 524271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110020111112 its reverse (2111110200111), we get a palindrome (3221130311223).

The spelling of 1110020111112 in words is "one trillion, one hundred ten billion, twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 113 132 142 213 226 264 284 339 426 452 568 678 781 852 904 1243 1356 1562 1704 2343 2486 2712 3124 3729 4686 4972 6248 7458 8023 9372 9944 14916 16046 18744 24069 29832 32092 48138 64184 88253 96276 176506 192552 264759 353012 524071 529518 706024 1048142 1059036 1572213 2096284 2118072 3144426 4192568 5764781 6288852 11529562 12577704 17294343 23059124 34588686 37209041 46118248 59220023 69177372 74418082 111627123 118440046 138354744 148836164 177660069 223254246 236880092 297672328 355320138 409299451 446508492 473760184 651420253 710640276 818598902 893016984 1227898353 1302840506 1421280552 1637197804 1954260759 2455796706 2605681012 3274395608 3908521518 4204621633 4911593412 5211362024 7817043036 8409243266 9823186824 12613864899 15634086072 16818486532 25227729798 33636973064 46250837963 50455459596 92501675926 100910919192 138752513889 185003351852 277505027778 370006703704 555010055556 1110020111112