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1030031200 = 255211671747
BaseRepresentation
bin111101011001010…
…000011101100000
32122210012000011201
4331121100131200
54102141444300
6250113050544
734345056262
oct7531203540
92583160151
101030031200
11489475760
12248b56a54
13135523423
149ab27b32
156066466a
hex3d650760

1030031200 has 144 divisors (see below), whose sum is σ = 2785696704. Its totient is φ = 368755200.

The previous prime is 1030031161. The next prime is 1030031227. The reversal of 1030031200 is 21300301.

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

It is a congruent number.

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, 588727 + ... + 590473.

It is an arithmetic number, because the mean of its divisors is an integer number (19345116).

Almost surely, 21030031200 is an apocalyptic number.

1030031200 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 1030031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392848352).

1030031200 is an abundant number, since it is smaller than the sum of its proper divisors (1755665504).

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

1030031200 is a wasteful number, since it uses less digits than its factorization.

1030031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1030031200 is about 32094.0991461047. The cubic root of 1030031200 is about 1009.9118310120.

Adding to 1030031200 its reverse (21300301), we get a palindrome (1051331501).

The spelling of 1030031200 in words is "one billion, thirty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 67 80 88 100 110 134 160 176 200 220 268 275 335 352 400 440 536 550 670 737 800 880 1072 1100 1340 1474 1675 1747 1760 2144 2200 2680 2948 3350 3494 3685 4400 5360 5896 6700 6988 7370 8735 8800 10720 11792 13400 13976 14740 17470 18425 19217 23584 26800 27952 29480 34940 36850 38434 43675 53600 55904 58960 69880 73700 76868 87350 96085 117049 117920 139760 147400 153736 174700 192170 234098 279520 294800 307472 349400 384340 468196 480425 585245 589600 614944 698800 768680 936392 960850 1170490 1287539 1397600 1537360 1872784 1921700 2340980 2575078 2926225 3074720 3745568 3843400 4681960 5150156 5852450 6437695 7686800 9363920 10300312 11704900 12875390 15373600 18727840 20600624 23409800 25750780 32188475 41201248 46819600 51501560 64376950 93639200 103003120 128753900 206006240 257507800 515015600 1030031200