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13100410440 = 23325132799233
BaseRepresentation
bin11000011001101100…
…00110011001001000
31020210222201210200200
430030312012121020
5203312201113230
610003535132200
7642432436305
oct141466063110
936728653620
1013100410440
115612927297
122657374060
13130a12a270
148c3c260ac
1551a188160
hex30cd86648

13100410440 has 96 divisors (see below), whose sum is σ = 45851452920. Its totient is φ = 3224715264.

The previous prime is 13100410399. The next prime is 13100410451. The reversal of 13100410440 is 4401400131.

It can be written as a sum of positive squares in 4 ways, for example, as 4374235044 + 8726175396 = 66138^2 + 93414^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394937 + ... + 1404296.

Almost surely, 213100410440 is an apocalyptic number.

13100410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100410440 is an abundant number, since it is smaller than the sum of its proper divisors (32751042480).

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

13100410440 is a wasteful number, since it uses less digits than its factorization.

13100410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799263 (or 2799256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13100410440 its reverse (4401400131), we get a palindrome (17501810571).

The spelling of 13100410440 in words is "thirteen billion, one hundred million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2799233 5598466 8397699 11196932 13996165 16795398 22393864 25193097 27992330 33590796 36390029 41988495 50386194 55984660 67181592 72780058 83976990 100772388 109170087 111969320 125965485 145560116 167953980 181950145 201544776 218340174 251930970 291120232 327510261 335907960 363900290 436680348 503861940 545850435 655020522 727800580 873360696 1007723880 1091700870 1310041044 1455601160 1637551305 2183401740 2620082088 3275102610 4366803480 6550205220 13100410440