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13001121240 = 2335163664679
BaseRepresentation
bin11000001101110110…
…10101110111011000
31020120001220101111220
430012323111313120
5203111241334430
65550031052040
7640115464362
oct140673256730
936501811456
1013001121240
1155718808a8
12262a071020
1312c26a5163
148b497bd32
155115c4110
hex306ed5dd8

13001121240 has 64 divisors (see below), whose sum is σ = 39242707200. Its totient is φ = 3445690752.

The previous prime is 13001121239. The next prime is 13001121271. The reversal of 13001121240 is 4212110031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312780 + ... + 351899.

It is an arithmetic number, because the mean of its divisors is an integer number (613167300).

Almost surely, 213001121240 is an apocalyptic number.

13001121240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001121240 is an abundant number, since it is smaller than the sum of its proper divisors (26241585960).

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

13001121240 is a wasteful number, since it uses less digits than its factorization.

13001121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664856 (or 664852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13001121240 its reverse (4212110031), we get a palindrome (17213231271).

The spelling of 13001121240 in words is "thirteen billion, one million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 664679 1329358 1994037 2658716 3323395 3988074 5317432 6646790 7976148 9970185 13293580 15952296 19940370 26587160 39880740 79761480 108342677 216685354 325028031 433370708 541713385 650056062 866741416 1083426770 1300112124 1625140155 2166853540 2600224248 3250280310 4333707080 6500560620 13001121240