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11331323222100 = 22352743125485307
BaseRepresentation
bin1010010011100100011101…
…1111101101100001010100
31111010021010101202020220120
42210321013133231201110
52441123022221101400
640033312114031540
72246442516124140
oct244710737554124
944107111666816
1011331323222100
113679650608622
1213301052785b0
136427017c38bb
142b262076a220
15149b48c1cca0
hexa4e477ed854

11331323222100 has 144 divisors (see below), whose sum is σ = 38340279065088. Its totient is φ = 2529783768960.

The previous prime is 11331323222071. The next prime is 11331323222101. The reversal of 11331323222100 is 122232313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331323222101) 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, 62652354 + ... + 62832953.

It is an arithmetic number, because the mean of its divisors is an integer number (266251937952).

Almost surely, 211331323222100 is an apocalyptic number.

11331323222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331323222100 is an abundant number, since it is smaller than the sum of its proper divisors (27008955842988).

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

11331323222100 is a wasteful number, since it uses less digits than its factorization.

11331323222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125485374 (or 125485367 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11331323222100 its reverse (122232313311), we get a palindrome (11453555535411).

The spelling of 11331323222100 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 125485307 250970614 376455921 501941228 627426535 752911842 878397149 1254853070 1505823684 1756794298 1882279605 2509706140 2635191447 3137132675 3513588596 3764559210 4391985745 5270382894 5395868201 6274265350 7529118420 8783971490 9411398025 10540765788 10791736402 12548530700 13175957235 16187604603 17567942980 18822796050 21583472804 21959928725 26351914470 26979341005 32375209206 37645592100 37771077407 43919857450 52703828940 53958682010 64750418412 65879786175 75542154814 80938023015 87839714900 107917364020 113313232221 131759572350 134896705025 151084309628 161876046030 188855387035 226626464442 263519144700 269793410050 323752092060 377710774070 404690115075 453252928884 539586820100 566566161105 755421548140 809380230150 944276935175 1133132322210 1618760460300 1888553870350 2266264644420 2832830805525 3777107740700 5665661611050 11331323222100