Search a number
-
+
13133033200 = 245274690369
BaseRepresentation
bin11000011101100101…
…00010111011110000
31020220021010012201001
430032302202323300
5203344024030300
610011102251344
7643306640350
oct141662427360
936807105631
1013133033200
11562a289251
122666286b54
131313b0cc81
148c82b8b60
1551ce7e16a
hex30eca2ef0

13133033200 has 60 divisors (see below), whose sum is σ = 36059564560. Its totient is φ = 4502753280.

The previous prime is 13133033153. The next prime is 13133033209. The reversal of 13133033200 is 233033131.

13133033200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131330332002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133033209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2342385 + ... + 2347984.

Almost surely, 213133033200 is an apocalyptic number.

13133033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133033200 is an abundant number, since it is smaller than the sum of its proper divisors (22926531360).

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

13133033200 is a wasteful number, since it uses less digits than its factorization.

13133033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690394 (or 4690383 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13133033200 its reverse (233033131), we get a palindrome (13366066331).

The spelling of 13133033200 in words is "thirteen billion, one hundred thirty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4690369 9380738 18761476 23451845 32832583 37522952 46903690 65665166 75045904 93807380 117259225 131330332 164162915 187614760 234518450 262660664 328325830 375229520 469036900 525321328 656651660 820814575 938073800 1313303320 1641629150 1876147600 2626606640 3283258300 6566516600 13133033200