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12321101013320 = 2351110722445847
BaseRepresentation
bin1011001101001011101011…
…0110010110000101001000
31121121212220201021200010102
42303102322312112011020
53103332103324411240
642112122523104532
72411112240415211
oct263227266260510
947555821250112
1012321101013320
113a20393347790
12146bab3972148
136b4b4b040098
143084b732a408
15165777d31815
hexb34bad96148

12321101013320 has 96 divisors (see below), whose sum is σ = 30527998562880. Its totient is φ = 4438525653120.

The previous prime is 12321101013259. The next prime is 12321101013337. The reversal of 12321101013320 is 2331010112321.

It is a happy number.

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 = 12321101013292 and 12321101013301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3814637 + ... + 6260483.

It is an arithmetic number, because the mean of its divisors is an integer number (317999985030).

Almost surely, 212321101013320 is an apocalyptic number.

12321101013320 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 12321101013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15263999281440).

12321101013320 is an abundant number, since it is smaller than the sum of its proper divisors (18206897549560).

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

12321101013320 is a wasteful number, since it uses less digits than its factorization.

12321101013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446083 (or 2445972 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12321101013320 its reverse (2331010112321), we get a palindrome (14652111125641).

Subtracting from 12321101013320 its reverse (2331010112321), we obtain a palindrome (9990090900999).

The spelling of 12321101013320 in words is "twelve trillion, three hundred twenty-one billion, one hundred one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11449 11770 22898 23540 45796 47080 57245 91592 114490 125939 228980 251878 457960 503756 629695 1007512 1259390 2445847 2518780 4891694 5037560 9783388 12229235 19566776 24458470 26904317 48916940 53808634 97833880 107617268 134521585 215234536 261705629 269043170 523411258 538086340 1046822516 1076172680 1308528145 2093645032 2617056290 2878761919 5234112580 5757523838 10468225160 11515047676 14393809595 23030095352 28002502303 28787619190 56005004606 57575238380 112010009212 115150476760 140012511515 224020018424 280025023030 308027525333 560050046060 616055050666 1120100092120 1232110101332 1540137626665 2464220202664 3080275253330 6160550506660 12321101013320