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13304414012120 = 23571130671408417
BaseRepresentation
bin1100000110011010110011…
…0111110000001011011000
31202002220000111011121022222
43001212230313300023120
53220434414441341440
644143544033203212
72542132532122040
oct301465467601330
952086014147288
1013304414012120
11426a4089566a0
1215aa599400508
137567a7114aca
1433dd1948c720
151811295eb2b5
hexc19acdf02d8

13304414012120 has 128 divisors (see below), whose sum is σ = 37333668303360. Its totient is φ = 4145475317760.

The previous prime is 13304414012119. The next prime is 13304414012191. The reversal of 13304414012120 is 2121041440331.

It is a self number, because there is not a number n which added to its sum of digits gives 13304414012120.

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, 8742152 + ... + 10150568.

It is an arithmetic number, because the mean of its divisors is an integer number (291669283620).

Almost surely, 213304414012120 is an apocalyptic number.

13304414012120 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 13304414012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18666834151680).

13304414012120 is an abundant number, since it is smaller than the sum of its proper divisors (24029254291240).

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

13304414012120 is a wasteful number, since it uses less digits than its factorization.

13304414012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411513 (or 1411509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13304414012120 its reverse (2121041440331), we get a palindrome (15425455452451).

The spelling of 13304414012120 in words is "thirteen trillion, three hundred four billion, four hundred fourteen million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3067 3080 6134 12268 15335 21469 24536 30670 33737 42938 61340 67474 85876 107345 122680 134948 168685 171752 214690 236159 269896 337370 429380 472318 674740 858760 944636 1180795 1349480 1408417 1889272 2361590 2816834 4723180 5633668 7042085 9446360 9858919 11267336 14084170 15492587 19717838 28168340 30985174 39435676 49294595 56336680 61970348 77462935 78871352 98589190 108448109 123940696 154925870 197178380 216896218 309851740 394356760 433792436 542240545 619703480 867584872 1084481090 2168962180 4319614939 4337924360 8639229878 17278459756 21598074695 30237304573 34556919512 43196149390 47515764329 60474609146 86392298780 95031528658 120949218292 151186522865 172784597560 190063057316 237578821645 241898436584 302373045730 332610350303 380126114632 475157643290 604746091460 665220700606 950315286580 1209492182920 1330441401212 1663051751515 1900630573160 2660882802424 3326103503030 6652207006060 13304414012120