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109382332900 = 2252330732
BaseRepresentation
bin110010111011110110…
…0011111000111100100
3101110100001011020101211
41211313230133013210
53243003334123100
6122125523001204
710621411326511
oct1456754370744
9343301136354
10109382332900
1142430525735
1219247b09204
13a412556a09
14541915c308
152ca2c8a1ba
hex1977b1f1e4

109382332900 has 27 divisors (see below), whose sum is σ = 237366839451. Its totient is φ = 43751610240.

The previous prime is 109382332883. The next prime is 109382332901. The reversal of 109382332900 is 9233283901.

It is a happy number.

The square root of 109382332900 is 330730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3153271716 + 106229061184 = 56154^2 + 325928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109382332901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3290764 + ... + 3323836.

Almost surely, 2109382332900 is an apocalyptic number.

109382332900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109382332900 is the 330730-th square number.

It is an amenable number.

109382332900 is an abundant number, since it is smaller than the sum of its proper divisors (127984506551).

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

109382332900 is an frugal number, since it uses more digits than its factorization.

109382332900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66160 (or 33080 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 109382332900 in words is "one hundred nine billion, three hundred eighty-two million, three hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 33073 66146 132292 165365 330730 661460 826825 1653650 3307300 1093823329 2187646658 4375293316 5469116645 10938233290 21876466580 27345583225 54691166450 109382332900