Search a number
-
+
13203023100 = 22352421104537
BaseRepresentation
bin11000100101111011…
…00010010011111100
31021002010211001210120
430102331202103330
5204014433214400
610022042334540
7645116562501
oct142275422374
937063731716
1013203023100
115665842743
1226857ba450
131325477007
148d36d74a8
155241a6ca0
hex312f624fc

13203023100 has 72 divisors (see below), whose sum is σ = 38291851248. Its totient is φ = 3512409600.

The previous prime is 13203023087. The next prime is 13203023129. The reversal of 13203023100 is 132030231.

It is a super-2 number, since 2×132030231002 (a number of 21 digits) contains 22 as substring.

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 13203023100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74032 + ... + 178568.

Almost surely, 213203023100 is an apocalyptic number.

13203023100 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 13203023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145925624).

13203023100 is an abundant number, since it is smaller than the sum of its proper divisors (25088828148).

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

13203023100 is a wasteful number, since it uses less digits than its factorization.

13203023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104975 (or 104968 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13203023100 its reverse (132030231), we get a palindrome (13335053331).

13203023100 divided by its reverse (132030231) gives a square (100 = 102).

The spelling of 13203023100 in words is "thirteen billion, two hundred three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 421 842 1263 1684 2105 2526 4210 5052 6315 8420 10525 12630 21050 25260 31575 42100 63150 104537 126300 209074 313611 418148 522685 627222 1045370 1254444 1568055 2090740 2613425 3136110 5226850 6272220 7840275 10453700 15680550 31361100 44010077 88020154 132030231 176040308 220050385 264060462 440100770 528120924 660151155 880201540 1100251925 1320302310 2200503850 2640604620 3300755775 4401007700 6601511550 13203023100