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1030303120 = 245711198803
BaseRepresentation
bin111101011010010…
…010110110010000
32122210200211011211
4331122102312100
54102224144440
6250122545504
734350301120
oct7532226620
92583624154
101030303120
11489640a90
12249068294
131355ba122
149ab98c80
15606b9eea
hex3d692d90

1030303120 has 160 divisors (see below), whose sum is σ = 3144084480. Its totient is φ = 304197120.

The previous prime is 1030303117. The next prime is 1030303123. The reversal of 1030303120 is 213030301.

1030303120 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 (1030303117) and next prime (1030303123).

It is a self number, because there is not a number n which added to its sum of digits gives 1030303120.

It is not an unprimeable number, because it can be changed into a prime (1030303123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112639 + ... + 121441.

It is an arithmetic number, because the mean of its divisors is an integer number (19650528).

Almost surely, 21030303120 is an apocalyptic number.

1030303120 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 1030303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572042240).

1030303120 is an abundant number, since it is smaller than the sum of its proper divisors (2113781360).

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

1030303120 is a wasteful number, since it uses less digits than its factorization.

1030303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1030303120 is about 32098.3351593194. The cubic root of 1030303120 is about 1010.0006927421. Note that the first 3 decimals are identical.

Adding to 1030303120 its reverse (213030301), we get a palindrome (1243333421).

The spelling of 1030303120 in words is "one billion, thirty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 35 38 40 44 55 56 70 76 77 80 88 95 110 112 133 140 152 154 176 190 209 220 266 280 304 308 380 385 418 440 532 560 616 665 760 770 836 880 1045 1064 1232 1330 1463 1520 1540 1672 2090 2128 2660 2926 3080 3344 4180 5320 5852 6160 7315 8360 8803 10640 11704 14630 16720 17606 23408 29260 35212 44015 58520 61621 70424 88030 96833 117040 123242 140848 167257 176060 193666 246484 308105 334514 352120 387332 484165 492968 616210 669028 677831 704240 774664 836285 968330 985936 1170799 1232420 1338056 1355662 1549328 1672570 1839827 1936660 2341598 2464840 2676112 2711324 3345140 3389155 3679654 3873320 4683196 4929680 5422648 5853995 6690280 6778310 7359308 7746640 9199135 9366392 10845296 11707990 12878789 13380560 13556620 14718616 18398270 18732784 23415980 25757578 27113240 29437232 36796540 46831960 51515156 54226480 64393945 73593080 93663920 103030312 128787890 147186160 206060624 257575780 515151560 1030303120