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11233133132100 = 223521123147999119
BaseRepresentation
bin1010001101110110101011…
…1010001111100101000100
31110202212200100202212102120
42203131222322033211010
52433020424040211400
635520232523405540
72236365340126155
oct243355272174504
943685610685376
1011233133132100
113640a43895710
1213150816838b0
13636383c63b29
142ab987c4192c
151472ed847ca0
hexa376ae8f944

11233133132100 has 144 divisors (see below), whose sum is σ = 36997412014080. Its totient is φ = 2604784476800.

The previous prime is 11233133132099. The next prime is 11233133132107. The reversal of 11233133132100 is 123133133211.

It is not an unprimeable number, because it can be changed into a prime (11233133132107) 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 47 ways as a sum of consecutive naturals, for example, 73923660 + ... + 74075459.

It is an arithmetic number, because the mean of its divisors is an integer number (256926472320).

Almost surely, 211233133132100 is an apocalyptic number.

11233133132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233133132100 is an abundant number, since it is smaller than the sum of its proper divisors (25764278881980).

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

11233133132100 is a wasteful number, since it uses less digits than its factorization.

11233133132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147999170 (or 147999163 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11233133132100 its reverse (123133133211), we get a palindrome (11356266265311).

The spelling of 11233133132100 in words is "eleven trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 147999119 295998238 443997357 591996476 739995595 887994714 1479991190 1627990309 1775989428 2219986785 2959982380 3255980618 3403979737 3699977975 4439973570 4883970927 6511961236 6807959474 7399955950 8139951545 8879947140 9767941854 10211939211 11099933925 13615918948 14799911900 16279903090 17019898685 19535883708 20423878422 22199867850 24419854635 32559806180 34039797370 37443777107 40699757725 40847756844 44399735700 48839709270 51059696055 68079594740 74887554214 81399515450 85099493425 97679418540 102119392110 112331331321 122099273175 149775108428 162799030900 170198986850 187218885535 204238784220 224662662642 244198546350 255298480275 340397973700 374437771070 449325325284 488397092700 510596960550 561656656605 748875542140 936094427675 1021193921100 1123313313210 1872188855350 2246626626420 2808283283025 3744377710700 5616566566050 11233133132100