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12013233320 = 23511473281
BaseRepresentation
bin10110011000000101…
…10110010010101000
31011000020000111001102
423030002312102220
5144100341431240
65304021140532
7603461540564
oct131402662250
934006014042
1012013233320
115105180000
1223b325a748
131195b18caa
1481d6a46a4
154a49d6815
hex2cc0b64a8

12013233320 has 160 divisors (see below), whose sum is σ = 30247122600. Its totient is φ = 4293273600.

The previous prime is 12013233319. The next prime is 12013233329. The reversal of 12013233320 is 2333231021.

It can be written as a sum of positive squares in 4 ways, for example, as 10677915556 + 1335317764 = 103334^2 + 36542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12013233292 and 12013233301.

It is not an unprimeable number, because it can be changed into a prime (12013233329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42751580 + ... + 42751860.

Almost surely, 212013233320 is an apocalyptic number.

12013233320 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 12013233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123561300).

12013233320 is an abundant number, since it is smaller than the sum of its proper divisors (18233889280).

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

12013233320 is an equidigital number, since it uses as much as digits as its factorization.

12013233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12013233320 its reverse (2333231021), we get a palindrome (14346464341).

The spelling of 12013233320 in words is "twelve billion, thirteen million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 121 146 220 242 281 292 365 440 484 562 584 605 730 803 968 1124 1210 1331 1405 1460 1606 2248 2420 2662 2810 2920 3091 3212 4015 4840 5324 5620 6182 6424 6655 8030 8833 10648 11240 12364 13310 14641 15455 16060 17666 20513 24728 26620 29282 30910 32120 34001 35332 41026 44165 53240 58564 61820 68002 70664 73205 82052 88330 97163 102565 117128 123640 136004 146410 164104 170005 176660 194326 205130 225643 272008 292820 340010 353320 374011 388652 410260 451286 485815 585640 680020 748022 777304 820520 902572 971630 1068793 1128215 1360040 1496044 1805144 1870055 1943260 2137586 2256430 2482073 2992088 3740110 3886520 4114121 4275172 4512860 4964146 5343965 7480220 8228242 8550344 9025720 9928292 10687930 12410365 14960440 16456484 19856584 20570605 21375860 24820730 27302803 32912968 41141210 42751720 49641460 54605606 82282420 99282920 109211212 136514015 164564840 218422424 273028030 300330833 546056060 600661666 1092112120 1201323332 1501654165 2402646664 3003308330 6006616660 12013233320