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321213323130100 = 225225173936134793
BaseRepresentation
bin100100100001001000100111…
…0000001011011010011110100
31120010022200201202221100010021
41021002101032001123103310
5314100224341210130400
63055055210303534524
7124441616406115642
oct11102211601332364
91503280652840107
10321213323130100
1193391894990475
1230039363bba444
1310a303952b108b
145946b4481c192
152720767dae71a
hex124244e05b4f4

321213323130100 has 144 divisors (see below), whose sum is σ = 701097102538560. Its totient is φ = 127738235520000.

The previous prime is 321213323130079. The next prime is 321213323130109. The reversal of 321213323130100 is 1031323312123.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213323130109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67017173304 + ... + 67017178096.

It is an arithmetic number, because the mean of its divisors is an integer number (4868729878740).

Almost surely, 2321213323130100 is an apocalyptic number.

It is an amenable number.

321213323130100 is an abundant number, since it is smaller than the sum of its proper divisors (379883779408460).

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

321213323130100 is a wasteful number, since it uses less digits than its factorization.

321213323130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 321213323130100 its reverse (1031323312123), we get a palindrome (322244646442223).

The spelling of 321213323130100 in words is "three hundred twenty-one trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 739 1004 1255 1478 2510 2956 3613 3695 4793 5020 6275 7226 7390 9586 12550 14452 14780 18065 18475 19172 23965 25100 36130 36950 47930 72260 73900 90325 95860 119825 180650 185489 239650 361300 370978 479300 741956 906863 927445 1203043 1813726 1854890 2406086 2670007 3542027 3627452 3709780 4534315 4637225 4812172 5340014 6015215 7084054 9068630 9274450 10680028 12030430 13350035 14168108 17317109 17710135 18137260 18548900 22671575 24060860 26700070 30076075 34634218 35420270 45343150 53400140 60152150 66750175 69268436 70840540 86585545 88550675 90686300 120304300 133500350 173171090 177101350 267000700 346342180 354202700 432927725 670171757 865855450 889048777 1340343514 1731710900 1778097554 2680687028 3350858785 3556195108 4346594359 4445243885 6701717570 8693188718 8890487770 12797343551 13403435140 16754293925 17386377436 17780975540 21732971795 22226219425 25594687102 33508587850 43465943590 44452438850 51189374204 63986717755 67017175700 86931887180 88904877700 108664858975 127973435510 217329717950 255946871020 319933588775 434659435900 639867177550 1279734355100 3212133231301 6424266462602 12848532925204 16060666156505 32121332313010 64242664626020 80303330782525 160606661565050 321213323130100