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13354202100 = 223521715431697
BaseRepresentation
bin11000110111111100…
…01111001111110100
31021110200021202101210
430123332033033310
5204322133431400
610045042521420
7651633562551
oct143376171764
937420252353
1013354202100
11573310a768
122708366270
13134a899745
1490980ba28
155325ba950
hex31bf8f3f4

13354202100 has 144 divisors (see below), whose sum is σ = 40961628288. Its totient is φ = 3347496960.

The previous prime is 13354202093. The next prime is 13354202111. The reversal of 13354202100 is 120245331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7868452 + ... + 7870148.

It is an arithmetic number, because the mean of its divisors is an integer number (284455752).

Almost surely, 213354202100 is an apocalyptic number.

13354202100 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 13354202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480814144).

13354202100 is an abundant number, since it is smaller than the sum of its proper divisors (27607426188).

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

13354202100 is a wasteful number, since it uses less digits than its factorization.

13354202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13354202100 its reverse (120245331), we get a palindrome (13474447431).

The spelling of 13354202100 in words is "thirteen billion, three hundred fifty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1543 1697 1700 2550 3086 3394 4629 5091 5100 6172 6788 7715 8485 9258 10182 15430 16970 18516 20364 23145 25455 26231 28849 30860 33940 38575 42425 46290 50910 52462 57698 77150 78693 84850 86547 92580 101820 104924 115396 115725 127275 131155 144245 154300 157386 169700 173094 231450 254550 262310 288490 314772 346188 393465 432735 462900 509100 524620 576980 655775 721225 786930 865470 1311550 1442450 1573860 1730940 1967325 2163675 2618471 2623100 2884900 3934650 4327350 5236942 7855413 7869300 8654700 10473884 13092355 15710826 26184710 31421652 39277065 44514007 52369420 65461775 78554130 89028014 130923550 133542021 157108260 178056028 196385325 222570035 261847100 267084042 392770650 445140070 534168084 667710105 785541300 890280140 1112850175 1335420210 2225700350 2670840420 3338550525 4451400700 6677101050 13354202100