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213103020 = 223513299421
BaseRepresentation
bin11001011001110…
…11000110101100
3112211222202101110
430230323012230
5414023244040
633051312020
75165226414
oct1454730654
9484882343
10213103020
11aa3224a9
125b44b610
13351c4380
1420433644
1513a96980
hexcb3b1ac

213103020 has 96 divisors (see below), whose sum is σ = 664816320. Its totient is φ = 50641920.

The previous prime is 213103003. The next prime is 213103039. The reversal of 213103020 is 20301312.

It is a happy number.

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 = 213102987 and 213103005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17910 + ... + 27330.

It is an arithmetic number, because the mean of its divisors is an integer number (6925170).

Almost surely, 2213103020 is an apocalyptic number.

213103020 is a gapful number since it is divisible by the number (20) 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 213103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332408160).

213103020 is an abundant number, since it is smaller than the sum of its proper divisors (451713300).

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

213103020 is a wasteful number, since it uses less digits than its factorization.

213103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213103020 is about 14598.0484997139. The cubic root of 213103020 is about 597.3055289338.

Adding to 213103020 its reverse (20301312), we get a palindrome (233404332).

The spelling of 213103020 in words is "two hundred thirteen million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4524 5655 7540 9421 11310 18842 22620 28263 37684 47105 56526 94210 113052 122473 141315 188420 244946 273209 282630 367419 489892 546418 565260 612365 734838 819627 1092836 1224730 1366045 1469676 1639254 1837095 2449460 2732090 3278508 3551717 3674190 4098135 5464180 7103434 7348380 8196270 10655151 14206868 16392540 17758585 21310302 35517170 42620604 53275755 71034340 106551510 213103020