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101083050 = 23252224629
BaseRepresentation
bin1100000011001…
…10011110101010
321001012112212200
412001212132222
5201334124200
614010321030
72335122525
oct601463652
9231175780
10101083050
1152071212
1229a29176
1317c32773
14d5d3bbc
158d1a800
hex60667aa

101083050 has 36 divisors (see below), whose sum is σ = 271577670. Its totient is φ = 26955360.

The previous prime is 101083049. The next prime is 101083051. The reversal of 101083050 is 50380101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101083049) and next prime (101083051).

It can be written as a sum of positive squares in 3 ways, for example, as 96884649 + 4198401 = 9843^2 + 2049^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101083051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111865 + ... + 112764.

Almost surely, 2101083050 is an apocalyptic number.

101083050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101083050 is an abundant number, since it is smaller than the sum of its proper divisors (170494620).

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

101083050 is a wasteful number, since it uses less digits than its factorization.

101083050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224647 (or 224639 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101083050 is about 10054.0066640121. The cubic root of 101083050 is about 465.8285609054.

The spelling of 101083050 in words is "one hundred one million, eighty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 224629 449258 673887 1123145 1347774 2021661 2246290 3369435 4043322 5615725 6738870 10108305 11231450 16847175 20216610 33694350 50541525 101083050