Search a number
-
+
11131233300 = 22335211374789
BaseRepresentation
bin10100101110111100…
…10010010000010100
31001201202101020111000
422113132102100110
5140244043431200
65040312543300
7542561631135
oct122736222024
931652336430
1011131233300
1147a2322370
1221a79b1b30
1310851855a5
147784b1c8c
15452363300
hex297792414

11131233300 has 144 divisors (see below), whose sum is σ = 39038126400. Its totient is φ = 2698473600.

The previous prime is 11131233283. The next prime is 11131233307. The reversal of 11131233300 is 333213111.

It is a happy number.

11131233300 is a `hidden beast` number, since 1 + 1 + 131 + 233 + 300 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131233307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157695 + ... + 217094.

It is an arithmetic number, because the mean of its divisors is an integer number (271098100).

Almost surely, 211131233300 is an apocalyptic number.

11131233300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131233300 is an abundant number, since it is smaller than the sum of its proper divisors (27906893100).

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

11131233300 is a wasteful number, since it uses less digits than its factorization.

11131233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374823 (or 374810 counting only the distinct ones).

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

Adding to 11131233300 its reverse (333213111), we get a palindrome (11464446411).

The spelling of 11131233300 in words is "eleven billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 374789 749578 1124367 1499156 1873945 2248734 3373101 3747890 4122679 4497468 5621835 6746202 7495780 8245358 9369725 10119303 11243670 12368037 13492404 16490716 16865505 18739450 20238606 20613395 22487340 24736074 28109175 33731010 37104111 37478900 40477212 41226790 49472148 50596515 56218350 61840185 67462020 74208222 82453580 84327525 101193030 103066975 111312333 112436700 123680370 148416444 168655050 185520555 202386060 206133950 222624666 247360740 252982575 309200925 337310100 371041110 412267900 445249332 505965150 556561665 618401850 742082220 927602775 1011930300 1113123330 1236803700 1855205550 2226246660 2782808325 3710411100 5565616650 11131233300