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13411305100 = 22521721074337
BaseRepresentation
bin11000111110110000…
…00100011010001100
31021121122201212222201
430133120010122030
5204431243230400
610054442451244
7653226132604
oct143730043214
937548655881
1013411305100
115762372026
122723503b24
131359670bbb
14913233c04
155375ea06a
hex31f60468c

13411305100 has 108 divisors (see below), whose sum is σ = 31211267976. Its totient is φ = 5000622080.

The previous prime is 13411305071. The next prime is 13411305119. The reversal of 13411305100 is 150311431.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3090132 + ... + 3094468.

It is an arithmetic number, because the mean of its divisors is an integer number (288993222).

Almost surely, 213411305100 is an apocalyptic number.

13411305100 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 13411305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605633988).

13411305100 is an abundant number, since it is smaller than the sum of its proper divisors (17799962876).

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

13411305100 is a wasteful number, since it uses less digits than its factorization.

13411305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 13411305100 its reverse (150311431), we get a palindrome (13561616531).

The spelling of 13411305100 in words is "thirteen billion, four hundred eleven million, three hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 289 340 425 428 535 578 850 1070 1156 1445 1700 1819 2140 2675 2890 3638 4337 5350 5780 7225 7276 8674 9095 10700 14450 17348 18190 21685 28900 30923 36380 43370 45475 61846 73729 86740 90950 108425 123692 147458 154615 181900 216850 294916 309230 368645 433700 464059 618460 737290 773075 928118 1253393 1474580 1546150 1843225 1856236 2320295 2506786 3092300 3686450 4640590 5013572 6266965 7372900 7889003 9281180 11601475 12533930 15778006 23202950 25067860 31334825 31556012 39445015 46405900 62669650 78890030 125339300 134113051 157780060 197225075 268226102 394450150 536452204 670565255 788900300 1341130510 2682261020 3352826275 6705652550 13411305100