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13321013231200 = 2552174672097401
BaseRepresentation
bin1100000111011000101001…
…0000101111111001100000
31202011110212022112022011211
43001312022100233321200
53221222413341344300
644155331120115504
72543261061136543
oct301661220577140
952143768468154
1013321013231200
114276456766674
1215b1850465b94
1375822108232c
14340a51c4285a
1518179ba084ba
hexc1d8a42fe60

13321013231200 has 144 divisors (see below), whose sum is σ = 34506608716944. Its totient is φ = 5004228608000.

The previous prime is 13321013231179. The next prime is 13321013231237. The reversal of 13321013231200 is 213231012331.

It is a congruent number.

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, 5302500 + ... + 7399900.

It is an arithmetic number, because the mean of its divisors is an integer number (239629227201).

Almost surely, 213321013231200 is an apocalyptic number.

13321013231200 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 13321013231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253304358472).

13321013231200 is an abundant number, since it is smaller than the sum of its proper divisors (21185595485744).

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

13321013231200 is a wasteful number, since it uses less digits than its factorization.

13321013231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097905 (or 2097892 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13321013231200 its reverse (213231012331), we get a palindrome (13534244243531).

The spelling of 13321013231200 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 467 544 680 800 850 934 1360 1700 1868 2335 2720 3400 3736 4670 6800 7472 7939 9340 11675 13600 14944 15878 18680 23350 31756 37360 39695 46700 63512 74720 79390 93400 127024 158780 186800 198475 254048 317560 373600 396950 635120 793900 1270240 1587800 2097401 3175600 4194802 6351200 8389604 10487005 16779208 20974010 33558416 35655817 41948020 52435025 67116832 71311634 83896040 104870050 142623268 167792080 178279085 209740100 285246536 335584160 356558170 419480200 570493072 713116340 838960400 891395425 979486267 1140986144 1426232680 1677920800 1782790850 1958972534 2852465360 3565581700 3917945068 4897431335 5704930720 7131163400 7835890136 9794862670 14262326800 15671780272 16651266539 19589725340 24487156675 28524653600 31343560544 33302533078 39179450680 48974313350 66605066156 78358901360 83256332695 97948626700 133210132312 156717802720 166512665390 195897253400 266420264624 333025330780 391794506800 416281663475 532840529248 666050661560 783589013600 832563326950 1332101323120 1665126653900 2664202646240 3330253307800 6660506615600 13321013231200