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13100234240 = 29512794001
BaseRepresentation
bin11000011001101010…
…11011011000000000
31020210222101211222202
430030311123120000
5203312124443430
610003531252332
7642431103512
oct141465333000
936728354882
1013100234240
115612816975
1226572aa0a8
13130a097cc2
148c3bbbbb2
1551a150d45
hex30cd5b600

13100234240 has 80 divisors (see below), whose sum is σ = 31442273280. Its totient is φ = 5234688000.

The previous prime is 13100234239. The next prime is 13100234267. The reversal of 13100234240 is 4243200131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131002342402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3272240 + ... + 3276240.

It is an arithmetic number, because the mean of its divisors is an integer number (393028416).

Almost surely, 213100234240 is an apocalyptic number.

13100234240 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 13100234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721136640).

13100234240 is an abundant number, since it is smaller than the sum of its proper divisors (18342039040).

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

13100234240 is an equidigital number, since it uses as much as digits as its factorization.

13100234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5287 counting only the distinct ones).

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

Adding to 13100234240 its reverse (4243200131), we get a palindrome (17343434371).

The spelling of 13100234240 in words is "thirteen billion, one hundred million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1279 1280 2558 2560 4001 5116 6395 8002 10232 12790 16004 20005 20464 25580 32008 40010 40928 51160 64016 80020 81856 102320 128032 160040 163712 204640 256064 320080 327424 409280 512128 640160 654848 818560 1024256 1280320 1637120 2048512 2560640 3274240 5117279 5121280 10234558 10242560 20469116 25586395 40938232 51172790 81876464 102345580 163752928 204691160 327505856 409382320 655011712 818764640 1310023424 1637529280 2620046848 3275058560 6550117120 13100234240