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1320212010 = 23513171071861
BaseRepresentation
bin100111010110000…
…1101011000101010
310102000012201102010
41032230031120222
510200433241020
6335000420350
744500421415
oct11654153052
93360181363
101320212010
11618252907
1230a1776b6
13180693a50
14c74a2b7c
157ad83de0
hex4eb0d62a

1320212010 has 128 divisors (see below), whose sum is σ = 3648685824. Its totient is φ = 302837760.

The previous prime is 1320211957. The next prime is 1320212053. The reversal of 1320212010 is 102120231.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708480 + ... + 710340.

It is an arithmetic number, because the mean of its divisors is an integer number (28505358).

Almost surely, 21320212010 is an apocalyptic number.

1320212010 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 1320212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824342912).

1320212010 is an abundant number, since it is smaller than the sum of its proper divisors (2328473814).

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

1320212010 is a wasteful number, since it uses less digits than its factorization.

1320212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008.

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

The square root of 1320212010 is about 36334.7218236221. The cubic root of 1320212010 is about 1097.0200363243.

Adding to 1320212010 its reverse (102120231), we get a palindrome (1422332241).

The spelling of 1320212010 in words is "one billion, three hundred twenty million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 107 130 170 195 214 221 255 321 390 442 510 535 642 663 1070 1105 1326 1391 1605 1819 1861 2210 2782 3210 3315 3638 3722 4173 5457 5583 6630 6955 8346 9095 9305 10914 11166 13910 18190 18610 20865 23647 24193 27285 27915 31637 41730 47294 48386 54570 55830 63274 70941 72579 94911 118235 120965 141882 145158 158185 189822 199127 236470 241930 316370 354705 362895 398254 411281 474555 597381 709410 725790 822562 949110 995635 1194762 1233843 1991270 2056405 2467686 2588651 2986905 3385159 4112810 5177302 5973810 6169215 6770318 7765953 10155477 12338430 12943255 15531906 16925795 20310954 25886510 33851590 38829765 44007067 50777385 77659530 88014134 101554770 132021201 220035335 264042402 440070670 660106005 1320212010