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1021034143134 = 2323718116935003
BaseRepresentation
bin11101101101110100110…
…00001001110110011110
310121121110121212121102100
432312322120021312132
5113212034220040014
62101020121105530
7133524115006335
oct16667230116636
93547417777370
101021034143134
11364022178a65
12145a723282a6
137538aca6395
14375bdc06d1c
151b85d1aa009
hexedba609d9e

1021034143134 has 96 divisors (see below), whose sum is σ = 2286389929824. Its totient is φ = 329056369920.

The previous prime is 1021034143111. The next prime is 1021034143169. The reversal of 1021034143134 is 4313414301201.

1021034143134 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 341 + 4 + 313 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1021034143098 and 1021034143107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204081877 + ... + 204086879.

It is an arithmetic number, because the mean of its divisors is an integer number (23816561769).

Almost surely, 21021034143134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021034143134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143194964912).

1021034143134 is an abundant number, since it is smaller than the sum of its proper divisors (1265355786690).

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

1021034143134 is a wasteful number, since it uses less digits than its factorization.

1021034143134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1021034143134 its reverse (4313414301201), we get a palindrome (5334448444335).

The spelling of 1021034143134 in words is "one trillion, twenty-one billion, thirty-four million, one hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 181 222 333 362 543 666 1086 1629 1693 3258 3386 5003 5079 6697 10006 10158 13394 15009 15237 20091 30018 30474 40182 45027 60273 62641 90054 120546 125282 185111 187923 306433 370222 375846 555333 563769 612866 905543 919299 1110666 1127538 1665999 1811086 1838598 2716629 2757897 3331998 5433258 5515794 8149887 8470079 11338021 16299774 16940158 22676042 25410237 33505091 34014063 50820474 67010182 68028126 76230711 100515273 102042189 152461422 201030546 204084378 301545819 313392923 603091638 626785846 940178769 1533084299 1880357538 2820536307 3066168598 4599252897 5641072614 9198505794 13797758691 27595517382 56724119063 113448238126 170172357189 340344714378 510517071567 1021034143134