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1011112030012 = 22741728122039
BaseRepresentation
bin11101011011010101111…
…10010010111100111100
310120122212010200001000011
432231222332102330330
5113031224134430022
62052255355513004
7133023204310000
oct16555276227474
93518763601004
101011112030012
1135a8a0421577
12143b63458764
1374469489526
1436d1c15a700
151b47c084977
hexeb6af92f3c

1011112030012 has 120 divisors (see below), whose sum is σ = 2193533909280. Its totient is φ = 406373667840.

The previous prime is 1011112030003. The next prime is 1011112030013. The reversal of 1011112030012 is 2100302111101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1011112029974 and 1011112030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011112030013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45867289 + ... + 45889327.

It is an arithmetic number, because the mean of its divisors is an integer number (18279449244).

Almost surely, 21011112030012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011112030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096766954640).

1011112030012 is an abundant number, since it is smaller than the sum of its proper divisors (1182421879268).

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

1011112030012 is a wasteful number, since it uses less digits than its factorization.

1011112030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22369 (or 22346 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1011112030012 its reverse (2100302111101), we get a palindrome (3111414141113).

The spelling of 1011112030012 in words is "one trillion, eleven billion, one hundred twelve million, thirty thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 281 343 476 562 686 833 1124 1372 1666 1967 2401 3332 3934 4777 4802 5831 7868 9554 9604 11662 13769 19108 22039 23324 27538 33439 40817 44078 55076 66878 81634 88156 96383 133756 154273 163268 192766 234073 308546 374663 385532 468146 617092 674681 749326 936292 1079911 1349362 1498652 1638511 2159822 2622641 2698724 3277022 4319644 5245282 6192959 6554044 7559377 10490564 11469577 12385918 15118754 18358487 22939154 24771836 30237508 36716974 43350713 45878308 52915639 73433948 86701426 105280303 105831278 128509409 173402852 210560606 211662556 257018818 303454991 421121212 514037636 606909982 736962121 899565863 1213819964 1473924242 1799131726 2124184937 2947848484 3598263452 4248369874 5158734847 8496739748 10317469694 14869294559 20634939388 29738589118 36111143929 59477178236 72222287858 144444575716 252778007503 505556015006 1011112030012