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11300386320 = 2432538034127
BaseRepresentation
bin10101000011000111…
…00011011000010000
31002011112200002210200
422201203203120100
5141120344330240
65105154255200
7550014461466
oct124143433020
932145602720
1011300386320
114879856553
122234587500
1310b122c232
14792b44836
15462127930
hex2a18e3610

11300386320 has 120 divisors (see below), whose sum is σ = 37969641216. Its totient is φ = 3011913984.

The previous prime is 11300386301. The next prime is 11300386327. The reversal of 11300386320 is 2368300311.

It is a happy number.

11300386320 is a `hidden beast` number, since 1 + 1 + 300 + 38 + 6 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11300386327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736097 + ... + 2740223.

Almost surely, 211300386320 is an apocalyptic number.

11300386320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300386320 is an abundant number, since it is smaller than the sum of its proper divisors (26669254896).

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

11300386320 is a wasteful number, since it uses less digits than its factorization.

11300386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11300386320 its reverse (2368300311), we get a palindrome (13668686631).

The spelling of 11300386320 in words is "eleven billion, three hundred million, three hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3803 4127 7606 8254 11409 12381 15212 16508 19015 20635 22818 24762 30424 33016 34227 37143 38030 41270 45636 49524 57045 60848 61905 66032 68454 74286 76060 82540 91272 99048 114090 123810 136908 148572 152120 165080 171135 182544 185715 198096 228180 247620 273816 297144 304240 330160 342270 371430 456360 495240 547632 594288 684540 742860 912720 990480 1369080 1485720 2738160 2971440 15694981 31389962 47084943 62779924 78474905 94169886 125559848 141254829 156949810 188339772 235424715 251119696 282509658 313899620 376679544 470849430 565019316 627799240 706274145 753359088 941698860 1130038632 1255598480 1412548290 1883397720 2260077264 2825096580 3766795440 5650193160 11300386320