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102100222200 = 23352170167037
BaseRepresentation
bin101111100010110100…
…1011100000011111000
3100202112112120200111010
41133011221130003320
53133100124102300
6114523150033520
710243065366204
oct1370551340370
9322475520433
10102100222200
113a333a06129
12179551a88a0
139821977782
144d27d67b04
1529c87e7a50
hex17c5a5c0f8

102100222200 has 48 divisors (see below), whose sum is σ = 316510690680. Its totient is φ = 27226725760.

The previous prime is 102100222181. The next prime is 102100222249. The reversal of 102100222200 is 2222001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85082919 + ... + 85084118.

Almost surely, 2102100222200 is an apocalyptic number.

102100222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100222200 is an abundant number, since it is smaller than the sum of its proper divisors (214410468480).

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

102100222200 is a wasteful number, since it uses less digits than its factorization.

102100222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170167056 (or 170167047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102100222200 its reverse (2222001201), we get a palindrome (104322223401).

The spelling of 102100222200 in words is "one hundred two billion, one hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 170167037 340334074 510501111 680668148 850835185 1021002222 1361336296 1701670370 2042004444 2552505555 3403340740 4084008888 4254175925 5105011110 6806681480 8508351850 10210022220 12762527775 17016703700 20420044440 25525055550 34033407400 51050111100 102100222200