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13004452300 = 22527712331123
BaseRepresentation
bin11000001110010000…
…00011000111001100
31020120022011121212111
430013020003013030
5203113114433200
65550230313404
7640156010050
oct140710030714
936508147774
1013004452300
115573746544
12262b1b8864
1312c32a03b8
148b51a7c60
15511a310ba
hex3072031cc

13004452300 has 144 divisors (see below), whose sum is σ = 32874895872. Its totient is φ = 4373107200.

The previous prime is 13004452297. The next prime is 13004452319. The reversal of 13004452300 is 325440031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11579539 + ... + 11580661.

It is an arithmetic number, because the mean of its divisors is an integer number (228297888).

Almost surely, 213004452300 is an apocalyptic number.

13004452300 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 13004452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437447936).

13004452300 is an abundant number, since it is smaller than the sum of its proper divisors (19870443572).

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

13004452300 is a wasteful number, since it uses less digits than its factorization.

13004452300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 13004452300 its reverse (325440031), we get a palindrome (13329892331).

The spelling of 13004452300 in words is "thirteen billion, four million, four hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 233 284 350 355 466 497 700 710 932 994 1123 1165 1420 1631 1775 1988 2246 2330 2485 3262 3550 4492 4660 4970 5615 5825 6524 7100 7861 8155 9940 11230 11650 12425 15722 16310 16543 22460 23300 24850 28075 31444 32620 33086 39305 40775 49700 56150 66172 78610 79733 81550 82715 112300 115801 157220 159466 163100 165430 196525 231602 261659 318932 330860 393050 398665 413575 463204 523318 558131 579005 786100 797330 827150 1046636 1116262 1158010 1308295 1594660 1654300 1831613 1993325 2232524 2316020 2616590 2790655 2895025 3663226 3986650 5233180 5581310 5790050 6541475 7326452 7973300 9158065 11162620 11580100 13082950 13953275 18316130 18577789 26165900 27906550 36632260 37155578 45790325 55813100 74311156 91580650 92888945 130044523 183161300 185777890 260089046 371555780 464444725 520178092 650222615 928889450 1300445230 1857778900 2600890460 3251113075 6502226150 13004452300