Search a number
-
+
13104104040220 = 2253747486177509
BaseRepresentation
bin1011111010110000100101…
…1101110110011100011100
31201101201222112121201022211
42332230021131312130130
53204144201113241340
643511535311250204
72521511625343624
oct276541135663434
951351875551284
1013104104040220
1141a246811aa76
1215777b5b19964
1374093381600b
1433435615d884
1517ad03d485ea
hexbeb0977671c

13104104040220 has 96 divisors (see below), whose sum is σ = 28870002120960. Its totient is φ = 4990374282240.

The previous prime is 13104104040199. The next prime is 13104104040233. The reversal of 13104104040220 is 2204040140131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13104104040191 and 13104104040200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169026826 + ... + 169104334.

It is an arithmetic number, because the mean of its divisors is an integer number (300729188760).

Almost surely, 213104104040220 is an apocalyptic number.

13104104040220 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 13104104040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435001060480).

13104104040220 is an abundant number, since it is smaller than the sum of its proper divisors (15765898080740).

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

13104104040220 is a wasteful number, since it uses less digits than its factorization.

13104104040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82463 (or 82461 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13104104040220 its reverse (2204040140131), we get a palindrome (15308144180351).

The spelling of 13104104040220 in words is "thirteen trillion, one hundred four billion, one hundred four million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 3478 4861 6956 8695 9722 17390 19444 24305 34780 48610 77509 97220 155018 179857 228467 310036 359714 387545 456934 719428 775090 899285 913868 1142335 1550180 1798570 2284670 2867833 3597140 3642923 4569340 5735666 7285846 8453279 11471332 14339165 14571692 16906558 18214615 28678330 33813116 36429230 42266395 57356660 72858460 84532790 134788151 169065580 269576302 376771249 539152604 673940755 753542498 1347881510 1507084996 1883856245 2695763020 3767712490 7535424980 13940536213 17708248703 27881072426 35416497406 55762144852 69702681065 70832994812 88541243515 139405362130 177082487030 278810724260 354164974060 655205202011 1310410404022 2620820808044 3276026010055 6552052020110 13104104040220