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11133011340 = 223251117330749
BaseRepresentation
bin10100101111001010…
…00100010110001100
31001201212201120111100
422113211010112030
5140300022330330
65040415023100
7542613015003
oct122745042614
931655646440
1011133011340
1147a3327220
1221a850aa90
131085658999
14778815c3a
154525b5060
hex29794458c

11133011340 has 144 divisors (see below), whose sum is σ = 39007332000. Its totient is φ = 2540144640.

The previous prime is 11133011327. The next prime is 11133011359. The reversal of 11133011340 is 4311033111.

11133011340 is a `hidden beast` number, since 11 + 13 + 301 + 1 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131715 + ... + 199034.

It is an arithmetic number, because the mean of its divisors is an integer number (270884250).

Almost surely, 211133011340 is an apocalyptic number.

11133011340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133011340 is an abundant number, since it is smaller than the sum of its proper divisors (27874320660).

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

11133011340 is a wasteful number, since it uses less digits than its factorization.

11133011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330792 (or 330787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133011340 its reverse (4311033111), we get a palindrome (15444044451).

The spelling of 11133011340 in words is "eleven billion, one hundred thirty-three million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 330749 661498 992247 1322996 1653745 1984494 2976741 3307490 3638239 3968988 4961235 5622733 5953482 6614980 7276478 9922470 10914717 11245466 11906964 14552956 14883705 16868199 18191195 19844940 21829434 22490932 28113665 29767410 32744151 33736398 36382390 43658868 50604597 54573585 56227330 59534820 61850063 65488302 67472796 72764780 84340995 101209194 109147170 112454660 123700126 130976604 163720755 168681990 185550189 202418388 218294340 247400252 253022985 309250315 327441510 337363980 371100378 506045970 556650567 618500630 654883020 742200756 927750945 1012091940 1113301134 1237001260 1855501890 2226602268 2783252835 3711003780 5566505670 11133011340