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213001110 = 23357251449
BaseRepresentation
bin11001011001000…
…10001110010110
3112211210120121000
430230202032112
5414012013420
633045204130
75164323330
oct1454421626
9484716530
10213001110
11aa262983
125b400646
1335189b7a
1420408450
1513a76690
hexcb22396

213001110 has 128 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 48384000.

The previous prime is 213001073. The next prime is 213001121. The reversal of 213001110 is 11100312.

It is a super-2 number, since 2×2130011102 = 90738945722464200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213001092 and 213001101.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 474166 + ... + 474614.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2213001110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

213001110 is an abundant number, since it is smaller than the sum of its proper divisors (440182890).

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

213001110 is a wasteful number, since it uses less digits than its factorization.

213001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 213001110 is about 14594.5575472503. The cubic root of 213001110 is about 597.2102993866.

Adding to 213001110 its reverse (11100312), we get a palindrome (224101422).

The spelling of 213001110 in words is "two hundred thirteen million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 251 270 315 378 449 502 630 753 898 945 1255 1347 1506 1757 1890 2245 2259 2510 2694 3143 3514 3765 4041 4490 4518 5271 6286 6735 6777 7530 8082 8785 9429 10542 11295 12123 13470 13554 15715 15813 17570 18858 20205 22590 24246 26355 28287 31430 31626 33885 40410 47145 47439 52710 56574 60615 67770 79065 84861 94290 94878 112699 121230 141435 158130 169722 225398 237195 282870 338097 424305 474390 563495 676194 788893 848610 1014291 1126990 1577786 1690485 2028582 2366679 3042873 3380970 3944465 4733358 5071455 6085746 7100037 7888930 10142910 11833395 14200074 15214365 21300111 23666790 30428730 35500185 42600222 71000370 106500555 213001110