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1110101010012 = 22321983173113027
BaseRepresentation
bin10000001001110111001…
…011010010011001011100
310221010100211220020112200
4100021313023102121130
5121141441324310022
62205550125131500
7143126223616221
oct20116713223134
93833324806480
101110101010012
11398878097355
1215b18a6b9b90
13808b36a0b87
143ba2cc01948
151dd22662bac
hex102772d265c

1110101010012 has 144 divisors (see below), whose sum is σ = 3006671391360. Its totient is φ = 344329640064.

The previous prime is 1110101009981. The next prime is 1110101010019. The reversal of 1110101010012 is 2100101010111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110101009976 and 1110101010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110101010019) 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 47 ways as a sum of consecutive naturals, for example, 9765043 + ... + 9878069.

It is an arithmetic number, because the mean of its divisors is an integer number (20879662440).

Almost surely, 21110101010012 is an apocalyptic number.

1110101010012 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 1110101010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503335695680).

1110101010012 is an abundant number, since it is smaller than the sum of its proper divisors (1896570381348).

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

1110101010012 is a wasteful number, since it uses less digits than its factorization.

1110101010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113312 (or 113307 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110101010012 its reverse (2100101010111), we get a palindrome (3210202020123).

Subtracting 1110101010012 from its reverse (2100101010111), we obtain a palindrome (990000000099).

The spelling of 1110101010012 in words is "one trillion, one hundred ten billion, one hundred one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 173 228 249 332 342 346 498 519 684 692 747 996 1038 1494 1557 1577 2076 2988 3114 3154 3287 4731 6228 6308 6574 9462 9861 13148 14193 14359 18924 19722 28386 28718 29583 39444 43077 56772 57436 59166 86154 113027 118332 129231 172308 226054 258462 272821 339081 452108 516924 545642 678162 818463 1017243 1091284 1356324 1636926 2034486 2147513 2455389 3273852 4068972 4295026 4910778 6442539 8590052 9381241 9821556 12885078 18762482 19327617 19553671 25770156 28143723 37524964 38655234 39107342 56287446 58661013 77310468 78214684 84431169 112574892 117322026 168862338 175983039 178243579 234644052 337724676 351966078 356487158 371519749 534730737 703932156 712974316 743039498 1069461474 1114559247 1486078996 1604192211 1622954693 2138922948 2229118494 3208384422 3245909386 3343677741 4458236988 4868864079 6416768844 6491818772 6687355482 9737728158 13374710964 14606592237 19475456316 29213184474 30836139167 58426368948 61672278334 92508417501 123344556668 185016835002 277525252503 370033670004 555050505006 1110101010012