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1003021020 = 2232519313937
BaseRepresentation
bin111011110010001…
…110001011011100
32120220100202011200
4323302032023130
54023233133040
6243310115500
733566352351
oct7362161334
92526322150
101003021020
114751a75a1
1223baabb90
1312ca57281
14972d6628
155d0cb630
hex3bc8e2dc

1003021020 has 144 divisors (see below), whose sum is σ = 3216289440. Its totient is φ = 252315648.

The previous prime is 1003021013. The next prime is 1003021043. The reversal of 1003021020 is 201203001.

It is a happy number.

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 = 1003020993 and 1003021011.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1069992 + ... + 1070928.

Almost surely, 21003021020 is an apocalyptic number.

1003021020 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 1003021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608144720).

1003021020 is an abundant number, since it is smaller than the sum of its proper divisors (2213268420).

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

1003021020 is a wasteful number, since it uses less digits than its factorization.

1003021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003021020 is about 31670.5071004555. The cubic root of 1003021020 is about 1001.0059943028.

Adding to 1003021020 its reverse (201203001), we get a palindrome (1204224021).

The spelling of 1003021020 in words is "one billion, three million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 313 342 380 570 626 684 855 937 939 1140 1252 1565 1710 1874 1878 2811 2817 3130 3420 3748 3756 4685 4695 5622 5634 5947 6260 8433 9370 9390 11244 11268 11894 14055 14085 16866 17803 17841 18740 18780 23788 28110 28170 29735 33732 35606 35682 42165 53409 53523 56220 56340 59470 71212 71364 84330 89015 89205 106818 107046 118940 160227 168660 178030 178410 213636 214092 267045 267615 293281 320454 356060 356820 534090 535230 586562 640908 801135 879843 1068180 1070460 1173124 1466405 1602270 1759686 2639529 2932810 3204540 3519372 4399215 5279058 5572339 5865620 8798430 10558116 11144678 13197645 16717017 17596860 22289356 26395290 27861695 33434034 50151051 52790580 55723390 66868068 83585085 100302102 111446780 167170170 200604204 250755255 334340340 501510510 1003021020