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102133452300 = 2235211101306431
BaseRepresentation
bin101111100011110100…
…0001100111000001100
3100202121212002221121120
41133013220030320030
53133132130433200
6114530334200540
710243651010025
oct1370750147014
9322555087546
10102133452300
113a350742420
1217964353150
139828810a59
144d2c537c4c
1529cb6ad9a0
hex17c7a0ce0c

102133452300 has 144 divisors (see below), whose sum is σ = 325563162624. Its totient is φ = 24514400000.

The previous prime is 102133452299. The next prime is 102133452313. The reversal of 102133452300 is 3254331201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180085 + ... + 486515.

It is an arithmetic number, because the mean of its divisors is an integer number (2260855296).

Almost surely, 2102133452300 is an apocalyptic number.

102133452300 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 102133452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162781581312).

102133452300 is an abundant number, since it is smaller than the sum of its proper divisors (223429710324).

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

102133452300 is a wasteful number, since it uses less digits than its factorization.

102133452300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306560 (or 306553 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 102133452300 its reverse (3254331201), we get a palindrome (105387783501).

The spelling of 102133452300 in words is "one hundred two billion, one hundred thirty-three million, four hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 306431 333300 612862 919293 1225724 1532155 1838586 3064310 3370741 3677172 4596465 6128620 6741482 7660775 9192930 10112223 13482964 15321550 16853705 18385860 20224446 22982325 30643100 30949531 33707410 40448892 45964650 50561115 61899062 67414820 84268525 91929300 92848593 101122230 123798124 154747655 168537050 185697186 202244460 252805575 309495310 337074100 340444841 371394372 464242965 505611150 618990620 680889682 773738275 928485930 1011222300 1021334523 1361779364 1547476550 1702224205 1856971860 2042669046 2321214825 3094953100 3404448410 4085338092 4642429650 5106672615 6808896820 8511121025 9284859300 10213345230 17022242050 20426690460 25533363075 34044484100 51066726150 102133452300