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11323312213000 = 235317955169739
BaseRepresentation
bin1010010011000110101000…
…0000001000110000001000
31111002111110002121211100211
42210301222000020300020
52441010120411304000
640025505142210504
72246040142512364
oct244615200106010
944074402554324
1011323312213000
11367620a600947
12132a64a423a34
13641a25bc7828
142b20a08382a4
1514982a79a7ba
hexa4c6a008c08

11323312213000 has 128 divisors (see below), whose sum is σ = 28058510937600. Its totient is φ = 4262386560000.

The previous prime is 11323312212991. The next prime is 11323312213021. The reversal of 11323312213000 is 31221332311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162332131 + ... + 162401869.

It is an arithmetic number, because the mean of its divisors is an integer number (219207116700).

Almost surely, 211323312213000 is an apocalyptic number.

11323312213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323312213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029255468800).

11323312213000 is an abundant number, since it is smaller than the sum of its proper divisors (16735198724600).

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

11323312213000 is a wasteful number, since it uses less digits than its factorization.

11323312213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79328 (or 79314 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11323312213000 its reverse (31221332311), we get a palindrome (11354533545311).

The spelling of 11323312213000 in words is "eleven trillion, three hundred twenty-three billion, three hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 9551 17000 19102 38204 47755 69739 76408 95510 139478 162367 191020 238775 278956 324734 348695 382040 477550 557912 649468 697390 811835 955100 1185563 1193875 1298936 1394780 1623670 1743475 1910200 2371126 2387750 2789560 3247340 3486950 4059175 4742252 4775500 5927815 6494680 6973900 8118350 8717375 9484504 9551000 11855630 13947800 16236700 17434750 20295875 23711260 29639075 32473400 34869500 40591750 47422520 59278150 69739000 81183500 118556300 148195375 162367000 237112600 296390750 592781500 666077189 1185563000 1332154378 2664308756 3330385945 5328617512 6660771890 11323312213 13321543780 16651929725 22646624426 26643087560 33303859450 45293248852 56616561065 66607718900 83259648625 90586497704 113233122130 133215437800 166519297250 226466244260 283082805325 333038594500 452932488520 566165610650 666077189000 1132331221300 1415414026625 2264662442600 2830828053250 5661656106500 11323312213000