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1030111120 = 245232101241
BaseRepresentation
bin111101011001100…
…011111110010000
32122210100001210201
4331121203332100
54102202023440
6250114504544
734345541263
oct7531437620
92583301721
101030111120
1148951a805
12248b95154
1313555090c
149ab48cda
156067d19a
hex3d663f90

1030111120 has 120 divisors (see below), whose sum is σ = 2538946872. Its totient is φ = 388608000.

The previous prime is 1030111037. The next prime is 1030111151. The reversal of 1030111120 is 211110301.

It can be written as a sum of positive squares in 4 ways, for example, as 475414416 + 554696704 = 21804^2 + 23552^2 .

It is a super-2 number, since 2×10301111202 = 2122257839095308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1030111097 and 1030111106.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4274200 + ... + 4274440.

Almost surely, 21030111120 is an apocalyptic number.

1030111120 is a gapful number since it is divisible by the number (10) 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 1030111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269473436).

1030111120 is an abundant number, since it is smaller than the sum of its proper divisors (1508835752).

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

1030111120 is a wasteful number, since it uses less digits than its factorization.

1030111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1030111120 is about 32095.3442106484. The cubic root of 1030111120 is about 1009.9379499834.

Adding to 1030111120 its reverse (211110301), we get a palindrome (1241221421).

The spelling of 1030111120 in words is "one billion, thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 241 368 404 460 482 505 529 808 920 964 1010 1058 1205 1616 1840 1928 2020 2116 2323 2410 2645 3856 4040 4232 4646 4820 5290 5543 8080 8464 9292 9640 10580 11086 11615 18584 19280 21160 22172 23230 24341 27715 37168 42320 44344 46460 48682 53429 55430 88688 92920 97364 106858 110860 121705 127489 185840 194728 213716 221720 243410 254978 267145 389456 427432 443440 486820 509956 534290 559843 637445 854864 973640 1019912 1068580 1119686 1274890 1947280 2039824 2137160 2239372 2549780 2799215 4274320 4478744 5099560 5598430 8957488 10199120 11196860 12876389 22393720 25752778 44787440 51505556 64381945 103011112 128763890 206022224 257527780 515055560 1030111120