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11133310320 = 24325111405721
BaseRepresentation
bin10100101111001100…
…01101010101110000
31001201220021202121200
422113212031111300
5140300111412240
65040425251200
7542615401446
oct122746152560
931656252550
1011133310320
1147a3510910
1221a8633b00
131085731ab2
14778892b96
15452623930
hex29798d570

11133310320 has 120 divisors (see below), whose sum is σ = 40788429552. Its totient is φ = 2698982400.

The previous prime is 11133310313. The next prime is 11133310339. The reversal of 11133310320 is 2301333111.

It is a happy number.

11133310320 is a `hidden beast` number, since 1 + 1 + 1 + 33 + 310 + 320 = 666.

11133310320 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 junction number, because it is equal to n+sod(n) for n = 11133310293 and 11133310302.

It is a congruent number.

It is an unprimeable number.

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, 694941 + ... + 710780.

Almost surely, 211133310320 is an apocalyptic number.

11133310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133310320 is an abundant number, since it is smaller than the sum of its proper divisors (29655119232).

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

11133310320 is a wasteful number, since it uses less digits than its factorization.

11133310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405751 (or 1405742 counting only the distinct ones).

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

Adding to 11133310320 its reverse (2301333111), we get a palindrome (13434643431).

The spelling of 11133310320 in words is "eleven billion, one hundred thirty-three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1405721 2811442 4217163 5622884 7028605 8434326 11245768 12651489 14057210 15462931 16868652 21085815 22491536 25302978 28114420 30925862 33737304 42171630 46388793 50605956 56228840 61851724 63257445 67474608 77314655 84343260 92777586 101211912 112457680 123703448 126514890 139166379 154629310 168686520 185555172 202423824 231943965 247406896 253029780 278332758 309258620 337373040 371110344 463887930 506059560 556665516 618517240 695831895 742220688 927775860 1012119120 1113331032 1237034480 1391663790 1855551720 2226662064 2783327580 3711103440 5566655160 11133310320