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13040100320 = 255136269279
BaseRepresentation
bin11000010010100000…
…00010001111100000
31020122210020201202112
430021100002033200
5203201231202240
65553542334452
7641101011122
oct141120021740
936583221675
1013040100320
115591884415
12263b12a428
1312ca7a20c0
148b9c07212
15514c23665
hex3094023e0

13040100320 has 48 divisors (see below), whose sum is σ = 33177029760. Its totient is φ = 4814805504.

The previous prime is 13040100289. The next prime is 13040100329. The reversal of 13040100320 is 2300104031.

It is a junction number, because it is equal to n+sod(n) for n = 13040100295 and 13040100304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040100329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3132560 + ... + 3136719.

It is an arithmetic number, because the mean of its divisors is an integer number (691188120).

Almost surely, 213040100320 is an apocalyptic number.

13040100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040100320 is an abundant number, since it is smaller than the sum of its proper divisors (20136929440).

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

13040100320 is a wasteful number, since it uses less digits than its factorization.

13040100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269307 (or 6269299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13040100320 its reverse (2300104031), we get a palindrome (15340204351).

The spelling of 13040100320 in words is "thirteen billion, forty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6269279 12538558 25077116 31346395 50154232 62692790 81500627 100308464 125385580 163001254 200616928 250771160 326002508 407503135 501542320 652005016 815006270 1003084640 1304010032 1630012540 2608020064 3260025080 6520050160 13040100320