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11131032130020 = 22335111873911133
BaseRepresentation
bin1010000111111010010100…
…1101110101000111100100
31110102010010202201120011000
42201332211031311013210
52424332323211130040
635401305304513300
72226122232001155
oct241764515650744
943363122646130
1011131032130020
11360170a4a7660
1212b932817b830
136298620a53ba
142a6a5db5392c
15144824e49130
hexa1fa53751e4

11131032130020 has 96 divisors (see below), whose sum is σ = 37778048461440. Its totient is φ = 2698432030080.

The previous prime is 11131032129967. The next prime is 11131032130027. The reversal of 11131032130020 is 2003123013111.

11131032130020 is a `hidden beast` number, since 1 + 1 + 1 + 310 + 32 + 1 + 300 + 20 = 666.

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 = 11131032129975 and 11131032130002.

It is not an unprimeable number, because it can be changed into a prime (11131032130027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936949627 + ... + 936961506.

It is an arithmetic number, because the mean of its divisors is an integer number (393521338140).

Almost surely, 211131032130020 is an apocalyptic number.

11131032130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131032130020 is an abundant number, since it is smaller than the sum of its proper divisors (26647016331420).

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

11131032130020 is a wasteful number, since it uses less digits than its factorization.

11131032130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873911162 (or 1873911154 counting only the distinct ones).

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

Adding to 11131032130020 its reverse (2003123013111), we get a palindrome (13134155143131).

The spelling of 11131032130020 in words is "eleven trillion, one hundred thirty-one billion, thirty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1873911133 3747822266 5621733399 7495644532 9369555665 11243466798 16865200197 18739111330 20613022463 22486933596 28108666995 33730400394 37478222660 41226044926 50595600591 56217333990 61839067389 67460800788 82452089852 84326000985 101191201182 103065112315 112434667980 123678134778 168652001970 185517202167 202382402364 206130224630 247356269556 252978002955 309195336945 337304003940 371034404334 412260449260 505956005910 556551606501 618390673890 742068808668 927586010835 1011912011820 1113103213002 1236781347780 1855172021670 2226206426004 2782758032505 3710344043340 5565516065010 11131032130020