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13100443400 = 2352116319437
BaseRepresentation
bin11000011001101100…
…01110011100001000
31020210222210110220102
430030312032130020
5203312203142100
610003535544532
7642432634352
oct141466163410
936728713812
1013100443400
11561294a030
12265738b148
13130a13c275
148c3c340d2
1551a192cd5
hex30cd8e708

13100443400 has 96 divisors (see below), whose sum is σ = 33283673280. Its totient is φ = 4755744000.

The previous prime is 13100443393. The next prime is 13100443403. The reversal of 13100443400 is 434400131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13100443403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383482 + ... + 1392918.

It is an arithmetic number, because the mean of its divisors is an integer number (346704930).

Almost surely, 213100443400 is an apocalyptic number.

13100443400 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 13100443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641836640).

13100443400 is an abundant number, since it is smaller than the sum of its proper divisors (20183229880).

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

13100443400 is a wasteful number, since it uses less digits than its factorization.

13100443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13100443400 its reverse (434400131), we get a palindrome (13534843531).

The spelling of 13100443400 in words is "thirteen billion, one hundred million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 631 1100 1262 2200 2524 3155 5048 6310 6941 9437 12620 13882 15775 18874 25240 27764 31550 34705 37748 47185 55528 63100 69410 75496 94370 103807 126200 138820 173525 188740 207614 235925 277640 347050 377480 415228 471850 519035 694100 830456 943700 1038070 1388200 1887400 2076140 2595175 4152280 5190350 5954747 10380700 11909494 20761400 23818988 29773735 47637976 59547470 65502217 119094940 131004434 148868675 238189880 262008868 297737350 327511085 524017736 595474700 655022170 1190949400 1310044340 1637555425 2620088680 3275110850 6550221700 13100443400