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11332320122000 = 2453172831177751
BaseRepresentation
bin1010010011101000001011…
…1010100101010010010000
31111010100200212121000111002
42210322002322211102100
52441132042422401000
640033555045041132
72246506312463633
oct244720272452220
944110625530432
1011332320122000
11367a012304239
1213303430b61a8
136428301b69b7
142b26b6d0bc1a
15149ba64da8d5
hexa4e82ea5490

11332320122000 has 160 divisors (see below), whose sum is σ = 29115951531264. Its totient is φ = 4251206400000.

The previous prime is 11332320121999. The next prime is 11332320122009. The reversal of 11332320122000 is 22102323311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11332320122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9033125 + ... + 10210875.

Almost surely, 211332320122000 is an apocalyptic number.

11332320122000 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 11332320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557975765632).

11332320122000 is an abundant number, since it is smaller than the sum of its proper divisors (17783631409264).

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

11332320122000 is a wasteful number, since it uses less digits than its factorization.

11332320122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178074 (or 1178058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11332320122000 its reverse (22102323311), we get a palindrome (11354422445311).

The spelling of 11332320122000 in words is "eleven trillion, three hundred thirty-two billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 283 340 400 425 500 566 680 850 1000 1132 1360 1415 1700 2000 2125 2264 2830 3400 4250 4528 4811 5660 6800 7075 8500 9622 11320 14150 17000 19244 22640 24055 28300 34000 35375 38488 48110 56600 70750 76976 96220 113200 120275 141500 192440 240550 283000 384880 481100 566000 601375 962200 1177751 1202750 1924400 2355502 2405500 4711004 4811000 5888755 9422008 9622000 11777510 18844016 20021767 23555020 29443775 40043534 47110040 58887550 80087068 94220080 100108835 117775100 147218875 160174136 200217670 235550200 294437750 320348272 333303533 400435340 471100400 500544175 588875500 666607066 800870680 1001088350 1177751000 1333214132 1601741360 1666517665 2002176700 2355502000 2502720875 2666428264 3333035330 4004353400 5005441750 5332856528 5666160061 6666070660 8008706800 8332588325 10010883500 11332320122 13332141320 16665176650 20021767000 22664640244 26664282640 28330800305 33330353300 40043534000 41662941625 45329280488 56661600610 66660706600 83325883250 90658560976 113323201220 133321413200 141654001525 166651766500 226646402440 283308003050 333303533000 453292804880 566616006100 666607066000 708270007625 1133232012200 1416540015250 2266464024400 2833080030500 5666160061000 11332320122000