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12321032010 = 23571031493823
BaseRepresentation
bin10110111100110010…
…00000011101001010
31011210200012021110220
423132121000131022
5200213141011020
65354334250510
7614220021060
oct133631003512
934720167426
1012321032010
1152529a0791
12247a356a36
1312148176b1
1484c508030
154c1a36240
hex2de64074a

12321032010 has 128 divisors (see below), whose sum is σ = 34360934400. Its totient is φ = 2769451776.

The previous prime is 12321031993. The next prime is 12321032021. The reversal of 12321032010 is 1023012321.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3220959 + ... + 3224781.

It is an arithmetic number, because the mean of its divisors is an integer number (268444800).

Almost surely, 212321032010 is an apocalyptic number.

12321032010 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 12321032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180467200).

12321032010 is an abundant number, since it is smaller than the sum of its proper divisors (22039902390).

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

12321032010 is a wasteful number, since it uses less digits than its factorization.

12321032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12321032010 its reverse (1023012321), we get a palindrome (13344044331).

The spelling of 12321032010 in words is "twelve billion, three hundred twenty-one million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 149 206 210 298 309 447 515 618 721 745 894 1030 1043 1442 1490 1545 2086 2163 2235 3090 3129 3605 3823 4326 4470 5215 6258 7210 7646 10430 10815 11469 15347 15645 19115 21630 22938 26761 30694 31290 38230 46041 53522 57345 76735 80283 92082 107429 114690 133805 153470 160566 214858 230205 267610 322287 393769 401415 460410 537145 569627 644574 787538 802830 1074290 1139254 1181307 1611435 1708881 1968845 2362614 2756383 2848135 3222870 3417762 3937690 3987389 5512766 5696270 5906535 7974778 8269149 8544405 11813070 11962167 13781915 16538298 17088810 19936945 23924334 27563830 39873890 41345745 58671581 59810835 82691490 117343162 119621670 176014743 293357905 352029486 410701067 586715810 821402134 880073715 1232103201 1760147430 2053505335 2464206402 4107010670 6160516005 12321032010