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12442332210 = 23571119283489
BaseRepresentation
bin10111001011001111…
…01110110000110010
31012010010102222001220
423211213232300302
5200440214112320
65414350205510
7620222036010
oct134547566062
935103388056
1012442332210
115305410390
1224b2ab3896
1312339a8369
148606818b0
154cc4e6e40
hex2e59eec32

12442332210 has 128 divisors (see below), whose sum is σ = 39189657600. Its totient is φ = 2449336320.

The previous prime is 12442332169. The next prime is 12442332223. The reversal of 12442332210 is 1223324421.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97855 + ... + 185634.

It is an arithmetic number, because the mean of its divisors is an integer number (306169200).

Almost surely, 212442332210 is an apocalyptic number.

12442332210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12442332210 is an abundant number, since it is smaller than the sum of its proper divisors (26747325390).

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

12442332210 is a wasteful number, since it uses less digits than its factorization.

12442332210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283536.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12442332210 its reverse (1223324421), we get a palindrome (13665656631).

The spelling of 12442332210 in words is "twelve billion, four hundred forty-two million, three hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 330 385 399 418 462 570 627 665 770 798 1045 1155 1254 1330 1463 1995 2090 2310 2926 3135 3990 4389 6270 7315 8778 14630 21945 43890 283489 566978 850467 1417445 1700934 1984423 2834890 3118379 3968846 4252335 5386291 5953269 6236758 8504670 9355137 9922115 10772582 11906538 15591895 16158873 18710274 19844230 21828653 26931455 29766345 31183790 32317746 37704037 43657306 46775685 53862910 59249201 59532690 65485959 75408074 80794365 93551370 109143265 113112111 118498402 130971918 161588730 177747603 188520185 218286530 226224222 296246005 327429795 355495206 377040370 414744407 565560555 592492010 654859590 829488814 888738015 1131121110 1244233221 1777476030 2073722035 2488466442 4147444070 6221166105 12442332210