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12321010020210 = 23519293463215239
BaseRepresentation
bin1011001101001011010101…
…1011001110111101110010
31121121212200101001202001020
42303102311123032331302
53103331412031121320
642112105512520310
72411110054115163
oct263226533167562
947555611052036
1012321010020210
113a20346a48271
12146ba893b0096
136b4b352310c8
143084a920176a
1516576ed5a940
hexb34b56cef72

12321010020210 has 128 divisors (see below), whose sum is σ = 32209546752000. Its totient is φ = 3004460750592.

The previous prime is 12321010020157. The next prime is 12321010020211. The reversal of 12321010020210 is 1202001012321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12321010020210.

It is not an unprimeable number, because it can be changed into a prime (12321010020211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57135771 + ... + 57351009.

It is an arithmetic number, because the mean of its divisors is an integer number (251637084000).

Almost surely, 212321010020210 is an apocalyptic number.

12321010020210 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 12321010020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104773376000).

12321010020210 is an abundant number, since it is smaller than the sum of its proper divisors (19888536731790).

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

12321010020210 is a wasteful number, since it uses less digits than its factorization.

12321010020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218760.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12321010020210 its reverse (1202001012321), we get a palindrome (13523011032531).

The spelling of 12321010020210 in words is "twelve trillion, three hundred twenty-one billion, ten million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 3463 5510 6926 8265 10389 16530 17315 20778 34630 51945 65797 100427 103890 131594 197391 200854 215239 301281 328985 394782 430478 502135 602562 645717 657970 986955 1004270 1076195 1291434 1506405 1908113 1973910 2152390 3012810 3228585 3816226 4089541 5724339 6241931 6457170 8179082 9540565 11448678 12268623 12483862 18725793 19081130 20447705 24537246 28621695 31209655 37451586 40895410 57243390 61343115 62419310 93628965 118596689 122686230 187257930 237193378 355790067 592983445 711580134 745372657 1185966890 1490745314 1778950335 2236117971 3557900670 3726863285 4472235942 7453726570 11180589855 14162080483 21615807053 22361179710 28324160966 42486241449 43231614106 64847421159 70810402415 84972482898 108079035265 129694842318 141620804830 212431207245 216158070530 324237105795 410700334007 424862414490 648474211590 821400668014 1232101002021 2053501670035 2464202004042 4107003340070 6160505010105 12321010020210