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107221543200 = 2532521722272
BaseRepresentation
bin110001111011011100…
…1101110100100100000
3101020202110020202011200
41203312321232210200
53224042203340300
6121131253441200
710514023036212
oct1436671564440
9336673222150
10107221543200
1141521847422
1218944340200
13a1599a3625
1452921aa5b2
152bc8216200
hex18f6e6e920

107221543200 has 486 divisors, whose sum is σ = 403415951211. Its totient is φ = 26791956480.

The previous prime is 107221543181. The next prime is 107221543211. The reversal of 107221543200 is 2345122701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

107221543200 is a `hidden beast` number, since 1 + 0 + 7 + 221 + 5 + 432 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 69816435984 + 37405107216 = 264228^2 + 193404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=231540.

It is a super-2 number, since 2×1072215432002 (a number of 23 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 472341487 + ... + 472341713.

Almost surely, 2107221543200 is an apocalyptic number.

107221543200 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 107221543200

107221543200 is an abundant number, since it is smaller than the sum of its proper divisors (296194408011).

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

107221543200 is a wasteful number, since it uses less digits than its factorization.

107221543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 107221543200 its reverse (2345122701), we get a palindrome (109566665901).

The spelling of 107221543200 in words is "one hundred seven billion, two hundred twenty-one million, five hundred forty-three thousand, two hundred".