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1021114224 = 243213241959
BaseRepresentation
bin111100110111001…
…111011101110000
32122011101222101100
4330313033131300
54042401123344
6245154004400
734206220254
oct7467173560
92564358340
101021114224
11484435259
12245b76700
13133720800
1499886264
155e9a2569
hex3cdcf770

1021114224 has 90 divisors (see below), whose sum is σ = 3094508040. Its totient is φ = 314181504.

The previous prime is 1021114219. The next prime is 1021114253. The reversal of 1021114224 is 4224111201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021114197 and 1021114206.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3357 + ... + 45315.

Almost surely, 21021114224 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 1021114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547254020).

1021114224 is an abundant number, since it is smaller than the sum of its proper divisors (2073393816).

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

1021114224 is a wasteful number, since it uses less digits than its factorization.

1021114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41999 (or 41977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021114224 is about 31954.8779374918. The cubic root of 1021114224 is about 1006.9891131632.

Adding to 1021114224 its reverse (4224111201), we get a palindrome (5245225425).

The spelling of 1021114224 in words is "one billion, twenty-one million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 41959 83918 125877 167836 251754 335672 377631 503508 545467 671344 755262 1007016 1090934 1510524 1636401 2014032 2181868 3021048 3272802 4363736 4909203 6042096 6545604 7091071 8727472 9818406 13091208 14182142 19636812 21273213 26182416 28364284 39273624 42546426 56728568 63819639 78547248 85092852 113457136 127639278 170185704 255278556 340371408 510557112 1021114224