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1030211220 = 2235173121051
BaseRepresentation
bin111101011001111…
…100011010010100
32122210112011010010
4331121330122110
54102213224340
6250121000220
734346436153
oct7531743224
92583464103
101030211220
11489588a35
12249023070
1313558734c
149ab7359a
156069cb80
hex3d67c694

1030211220 has 144 divisors (see below), whose sum is σ = 3158979264. Its totient is φ = 249984000.

The previous prime is 1030211219. The next prime is 1030211227. The reversal of 1030211220 is 221120301.

It is a super-2 number, since 2×10302112202 = 2122670315627776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1030211196 and 1030211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030211227) by changing a digit.

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, 979695 + ... + 980745.

It is an arithmetic number, because the mean of its divisors is an integer number (21937356).

Almost surely, 21030211220 is an apocalyptic number.

1030211220 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 1030211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579489632).

1030211220 is an abundant number, since it is smaller than the sum of its proper divisors (2128768044).

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

1030211220 is a wasteful number, since it uses less digits than its factorization.

1030211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1030211220 is about 32096.9035889757. The cubic root of 1030211220 is about 1009.9706621547.

Adding to 1030211220 its reverse (221120301), we get a palindrome (1251331521).

The spelling of 1030211220 in words is "one billion, thirty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 961 1020 1051 1054 1581 1860 1922 2102 2108 2635 2883 3153 3162 3844 4204 4805 5255 5270 5766 6306 6324 7905 9610 10510 10540 11532 12612 14415 15765 15810 16337 17867 19220 21020 28830 31530 31620 32581 32674 35734 49011 53601 57660 63060 65162 65348 71468 81685 89335 97743 98022 107202 130324 162905 163370 178670 195486 196044 214404 245055 268005 325810 326740 357340 390972 488715 490110 536010 553877 651620 977430 980220 1010011 1072020 1107754 1661631 1954860 2020022 2215508 2769385 3030033 3323262 4040044 5050055 5538770 6060066 6646524 8308155 10100110 11077540 12120132 15150165 16616310 17170187 20200220 30300330 33232620 34340374 51510561 60600660 68680748 85850935 103021122 171701870 206042244 257552805 343403740 515105610 1030211220