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102133323000 = 23325311348147
BaseRepresentation
bin101111100011110011…
…1101101010011111000
3100202121211212101020200
41133013213231103320
53133132112314000
6114530331322200
710243646631042
oct1370747552370
9322554771220
10102133323000
113a350664265
12179642b0360
139828796c47
144d2c502a92
1529cb685500
hex17c79ed4f8

102133323000 has 96 divisors (see below), whose sum is σ = 345210662160. Its totient is φ = 27235550400.

The previous prime is 102133322999. The next prime is 102133323001. The reversal of 102133323000 is 323331201.

102133323000 is a `hidden beast` number, since 10 + 21 + 3 + 332 + 300 + 0 = 666.

102133323000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102133322999) and next prime (102133323001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133323001) 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 23 ways as a sum of consecutive naturals, for example, 5665074 + ... + 5683073.

Almost surely, 2102133323000 is an apocalyptic number.

102133323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133323000 is an abundant number, since it is smaller than the sum of its proper divisors (243077339160).

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

102133323000 is a wasteful number, since it uses less digits than its factorization.

102133323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348174 (or 11348157 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102133323000 its reverse (323331201), we get a palindrome (102456654201).

The spelling of 102133323000 in words is "one hundred two billion, one hundred thirty-three million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11348147 22696294 34044441 45392588 56740735 68088882 90785176 102133323 113481470 136177764 170222205 204266646 226962940 272355528 283703675 340444410 408533292 453925880 510666615 567407350 680888820 817066584 851111025 1021333230 1134814700 1361777640 1418518375 1702222050 2042666460 2269629400 2553333075 2837036750 3404444100 4085332920 4255555125 5106666150 5674073500 6808888200 8511110250 10213332300 11348147000 12766665375 17022220500 20426664600 25533330750 34044441000 51066661500 102133323000