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1003044112 = 247229157281
BaseRepresentation
bin111011110010010…
…011110100010000
32120220101220211221
4323302103310100
54023234402422
6243310414424
733566506600
oct7362236420
92526356757
101003044112
11475212984
1223bb01414
1312ca64935
1497300c00
155d0d33c7
hex3bc93d10

1003044112 has 120 divisors (see below), whose sum is σ = 2361913560. Its totient is φ = 410941440.

The previous prime is 1003044103. The next prime is 1003044121. The reversal of 1003044112 is 2114403001.

1003044112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003044103) and next prime (1003044121).

It can be written as a sum of positive squares in 4 ways, for example, as 143616256 + 859427856 = 11984^2 + 29316^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3569412 + ... + 3569692.

It is an arithmetic number, because the mean of its divisors is an integer number (19682613).

Almost surely, 21003044112 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 1003044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180956780).

1003044112 is an abundant number, since it is smaller than the sum of its proper divisors (1358869448).

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

1003044112 is a wasteful number, since it uses less digits than its factorization.

1003044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1003044112 is about 31670.8716646700. The cubic root of 1003044112 is about 1001.0136761135.

Adding to 1003044112 its reverse (2114403001), we get a palindrome (3117447113).

The spelling of 1003044112 in words is "one billion, three million, forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 157 196 203 232 281 314 392 406 464 562 628 784 812 1099 1124 1256 1421 1624 1967 2198 2248 2512 2842 3248 3934 4396 4496 4553 5684 7693 7868 8149 8792 9106 11368 13769 15386 15736 16298 17584 18212 22736 27538 30772 31472 31871 32596 36424 44117 55076 57043 61544 63742 65192 72848 88234 110152 114086 123088 127484 130384 176468 220304 223097 228172 254968 308819 352936 399301 446194 456344 509936 617638 705872 798602 892388 912688 1235276 1279393 1597204 1784776 2161733 2470552 2558786 3194408 3569552 4323466 4941104 5117572 6388816 8646932 8955751 10235144 17293864 17911502 20470288 34587728 35823004 62690257 71646008 125380514 143292016 250761028 501522056 1003044112