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13201133040 = 2432527766191
BaseRepresentation
bin11000100101101100…
…10100110111110000
31021002000021001010100
430102312110313300
5204013442224130
610021534032400
7645064531224
oct142266246760
937060231110
1013201133040
115664771707
122685048700
131324c64934
148d3364784
15523e31c60
hex312d94df0

13201133040 has 120 divisors (see below), whose sum is σ = 44494527168. Its totient is φ = 3507540480.

The previous prime is 13201133027. The next prime is 13201133041. The reversal of 13201133040 is 4033110231.

13201133040 is a `hidden beast` number, since 1 + 320 + 11 + 330 + 4 + 0 = 666.

13201133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201133041) 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 23 ways as a sum of consecutive naturals, for example, 166345 + ... + 232535.

Almost surely, 213201133040 is an apocalyptic number.

13201133040 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 13201133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247263584).

13201133040 is an abundant number, since it is smaller than the sum of its proper divisors (31293394128).

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

13201133040 is a wasteful number, since it uses less digits than its factorization.

13201133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66487 (or 66478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13201133040 its reverse (4033110231), we get a palindrome (17234243271).

The spelling of 13201133040 in words is "thirteen billion, two hundred one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 277 360 554 720 831 1108 1385 1662 2216 2493 2770 3324 4155 4432 4986 5540 6648 8310 9972 11080 12465 13296 16620 19944 22160 24930 33240 39888 49860 66191 66480 99720 132382 198573 199440 264764 330955 397146 529528 595719 661910 794292 992865 1059056 1191438 1323820 1588584 1985730 2382876 2647640 2978595 3177168 3971460 4765752 5295280 5957190 7942920 9531504 11914380 15885840 18334907 23828760 36669814 47657520 55004721 73339628 91674535 110009442 146679256 165014163 183349070 220018884 275023605 293358512 330028326 366698140 440037768 550047210 660056652 733396280 825070815 880075536 1100094420 1320113304 1466792560 1650141630 2200188840 2640226608 3300283260 4400377680 6600566520 13201133040