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1030013010 = 234513293373
BaseRepresentation
bin111101011001001…
…100000001010010
32122210011002020000
4331121030001102
54102140404020
6250112430430
734344652245
oct7531140122
92583132200
101030013010
11489463024
12248b48416
13135518070
149ab2125c
156065e090
hex3d64c052

1030013010 has 160 divisors (see below), whose sum is σ = 3086400240. Its totient is φ = 244726272.

The previous prime is 1030012987. The next prime is 1030013021. The reversal of 1030013010 is 103100301.

It can be written as a sum of positive squares in 8 ways, for example, as 604127241 + 425885769 = 24579^2 + 20637^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1030012983 and 1030013001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303684 + ... + 307056.

Almost surely, 21030013010 is an apocalyptic number.

1030013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543200120).

1030013010 is an abundant number, since it is smaller than the sum of its proper divisors (2056387230).

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

1030013010 is a wasteful number, since it uses less digits than its factorization.

1030013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1030013010 is about 32093.8157594263. The cubic root of 1030013010 is about 1009.9058860774.

Adding to 1030013010 its reverse (103100301), we get a palindrome (1133113311).

The spelling of 1030013010 in words is "one billion, thirty million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 81 87 90 117 130 135 145 162 174 195 234 261 270 290 351 377 390 405 435 522 585 702 754 783 810 870 1053 1131 1170 1305 1566 1755 1885 2106 2262 2349 2610 3373 3393 3510 3770 3915 4698 5265 5655 6746 6786 7830 10119 10179 10530 11310 11745 16865 16965 20238 20358 23490 30357 30537 33730 33930 43849 50595 50895 60714 61074 87698 91071 97817 101190 101790 131547 151785 152685 182142 195634 219245 263094 273213 293451 303570 305370 394641 438490 455355 489085 546426 586902 657735 789282 880353 910710 978170 1183923 1271621 1315470 1366065 1467255 1760706 1973205 2367846 2543242 2641059 2732130 2934510 3551769 3814863 3946410 4401765 5282118 5919615 6358105 7103538 7629726 7923177 8803530 11444589 11839230 12716210 13205295 15846354 17758845 19074315 22889178 26410590 34333767 35517690 38148630 39615885 57222945 68667534 79231770 103001301 114445890 171668835 206002602 343337670 515006505 1030013010