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13330200200220 = 223251791251733053
BaseRepresentation
bin1100000111111010110111…
…0110010000010000011100
31202012100120120102200110200
43001332231312100100130
53221400222222401340
644203450500503500
72544034534113021
oct301765566202034
952170516380420
1013330200200220
11427a34054a452
1215b35950aab90
137590564a6587
14341284007548
15181b38318330
hexc1fadd9041c

13330200200220 has 144 divisors (see below), whose sum is σ = 40665312848160. Its totient is φ = 3534471940608.

The previous prime is 13330200200147. The next prime is 13330200200221. The reversal of 13330200200220 is 2200200203331.

It is a happy number.

13330200200220 is a `hidden beast` number, since 13 + 3 + 30 + 200 + 200 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13330200200193 and 13330200200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330200200221) 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, 403281214 + ... + 403314266.

It is an arithmetic number, because the mean of its divisors is an integer number (282398005890).

Almost surely, 213330200200220 is an apocalyptic number.

13330200200220 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 13330200200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332656424080).

13330200200220 is an abundant number, since it is smaller than the sum of its proper divisors (27335112647940).

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

13330200200220 is a wasteful number, since it uses less digits than its factorization.

13330200200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45764 (or 45759 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13330200200220 its reverse (2200200203331), we get a palindrome (15530400403551).

The spelling of 13330200200220 in words is "thirteen trillion, three hundred thirty billion, two hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 12517 16110 25034 32220 33053 37551 50068 62585 66106 75102 99159 112653 125170 132212 150204 165265 187755 198318 225306 250340 297477 330530 375510 396636 450612 495795 563265 594954 661060 751020 991590 1126530 1189908 1487385 1983180 2240543 2253060 2974770 4481086 5916487 5949540 6721629 8962172 11202715 11832974 13443258 17749461 20164887 22405430 23665948 26886516 29582435 33608145 35498922 40329774 44810860 53248383 59164870 67216290 70997844 80659548 88747305 100824435 106496766 118329740 134432580 177494610 201648870 212993532 266241915 354989220 403297740 413724401 532483830 827448802 1064967660 1241173203 1654897604 2068622005 2482346406 3723519609 4137244010 4964692812 6205866015 7447039218 8274488020 12411732030 14894078436 18617598045 24823464060 37235196090 74056667779 74470392180 148113335558 222170003337 296226671116 370283338895 444340006674 666510010011 740566677790 888680013348 1110850016685 1333020020022 1481133355580 2221700033370 2666040040044 3332550050055 4443400066740 6665100100110 13330200200220