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13011312300 = 2235276195863
BaseRepresentation
bin11000001111000100…
…01101111010101100
31020120210002011000120
430013202031322230
5203121343443200
65551033324540
7640301221050
oct140742157254
936523064016
1013011312300
115577601568
122631566750
1312c483297c
148b6071c60
155124389a0
hex30788deac

13011312300 has 72 divisors (see below), whose sum is σ = 43024079616. Its totient is φ = 2974013760.

The previous prime is 13011312299. The next prime is 13011312323. The reversal of 13011312300 is 321311031.

13011312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13011312300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095832 + ... + 3100031.

Almost surely, 213011312300 is an apocalyptic number.

13011312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011312300 is an abundant number, since it is smaller than the sum of its proper divisors (30012767316).

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

13011312300 is a wasteful number, since it uses less digits than its factorization.

13011312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195887 (or 6195880 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13011312300 its reverse (321311031), we get a palindrome (13332623331).

The spelling of 13011312300 in words is "thirteen billion, eleven million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6195863 12391726 18587589 24783452 30979315 37175178 43371041 61958630 74350356 86742082 92937945 123917260 130113123 154896575 173484164 185875890 216855205 260226246 309793150 371751780 433710410 464689725 520452492 619586300 650565615 867420820 929379450 1084276025 1301131230 1858758900 2168552050 2602262460 3252828075 4337104100 6505656150 13011312300