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11321302034400 = 2535217277482893
BaseRepresentation
bin1010010010111111001000…
…1011111010011111100000
31111002022021000010011201120
42210233302023322133200
52440442011310100100
640024533453132240
72245636263335361
oct244576213723740
944068230104646
1011321302034400
113675378941a16
12132a18918a080
136417955c8537
142b1d4d88db68
1514975e0770a0
hexa4bf22fa7e0

11321302034400 has 144 divisors (see below), whose sum is σ = 39018534622704. Its totient is φ = 2841424814080.

The previous prime is 11321302034387. The next prime is 11321302034407. The reversal of 11321302034400 is 443020312311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321302034407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138700647 + ... + 138782246.

It is an arithmetic number, because the mean of its divisors is an integer number (270962045991).

Almost surely, 211321302034400 is an apocalyptic number.

11321302034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11321302034400 is an abundant number, since it is smaller than the sum of its proper divisors (27697232588304).

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

11321302034400 is a wasteful number, since it uses less digits than its factorization.

11321302034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277482933 (or 277482920 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11321302034400 its reverse (443020312311), we get a palindrome (11764322346711).

The spelling of 11321302034400 in words is "eleven trillion, three hundred twenty-one billion, three hundred two million, thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 277482893 554965786 832448679 1109931572 1387414465 1664897358 2219863144 2774828930 3329794716 4162243395 4439726288 4717209181 5549657860 6659589432 6937072325 8324486790 8879452576 9434418362 11099315720 13319178864 13874144650 14151627543 16648973580 18868836724 20811216975 22198631440 23586045905 26638357728 27748289300 28303255086 33297947160 37737673448 41622433950 44397262880 47172091810 55496578600 56606510172 66595894320 70758137715 75475346896 83244867900 94344183620 110993157200 113213020344 117930229525 133191788640 141516275430 150950693792 166489735800 188688367240 221986314400 226426040688 235860459050 283032550860 332979471600 353790688575 377376734480 452852081376 471720918100 566065101720 665958943200 707581377150 754753468960 943441836200 1132130203440 1415162754300 1886883672400 2264260406880 2830325508600 3773767344800 5660651017200 11321302034400