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13133301120 = 27345253343
BaseRepresentation
bin11000011101100111…
…00100010110000000
31020220021121211020000
430032303210112000
5203344111113440
610011112120000
7643312134432
oct141663442600
936807554200
1013133301120
11562a451575
122666396000
131313ba4bc4
148c8348652
1551ced3730
hex30ece4580

13133301120 has 160 divisors (see below), whose sum is σ = 46901574720. Its totient is φ = 3502199808.

The previous prime is 13133301119. The next prime is 13133301131. The reversal of 13133301120 is 2110333131.

It is a happy number.

13133301120 is a `hidden beast` number, since 1 + 313 + 330 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 13133301093 and 13133301102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74832 + ... + 178511.

It is an arithmetic number, because the mean of its divisors is an integer number (293134842).

Almost surely, 213133301120 is an apocalyptic number.

13133301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133301120 is an abundant number, since it is smaller than the sum of its proper divisors (33768273600).

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

13133301120 is an equidigital number, since it uses as much as digits as its factorization.

13133301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253374 (or 253353 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13133301120 its reverse (2110333131), we get a palindrome (15243634251).

The spelling of 13133301120 in words is "thirteen billion, one hundred thirty-three million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 253343 506686 760029 1013372 1266715 1520058 2026744 2280087 2533430 3040116 3800145 4053488 4560174 5066860 6080232 6840261 7600290 8106976 9120348 10133720 11400435 12160464 13680522 15200580 16213952 18240696 20267440 20520783 22800870 24320928 27361044 30401160 32427904 34201305 36481392 40534880 41041566 45601740 48641856 54722088 60802320 68402610 72962784 81069760 82083132 91203480 97283712 102603915 109444176 121604640 136805220 145925568 162139520 164166264 182406960 205207830 218888352 243209280 273610440 291851136 328332528 364813920 410415660 437776704 486418560 547220880 656665056 729627840 820831320 875553408 1094441760 1313330112 1459255680 1641662640 2188883520 2626660224 3283325280 4377767040 6566650560 13133301120