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1000940100 = 223523336467
BaseRepresentation
bin111011101010010…
…010001001000100
32120202110000200120
4323222102021010
54022220040400
6243153341540
733542564466
oct7352221104
92522400616
101000940100
11474006126
1223b2678b0
1312c4a9064
1496d14136
155cd19ca0
hex3ba92244

1000940100 has 36 divisors (see below), whose sum is σ = 2896054224. Its totient is φ = 266917280.

The previous prime is 1000940081. The next prime is 1000940107. The reversal of 1000940100 is 10490001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000940100.

It is not an unprimeable number, because it can be changed into a prime (1000940107) 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 11 ways as a sum of consecutive naturals, for example, 1667934 + ... + 1668533.

Almost surely, 21000940100 is an apocalyptic number.

1000940100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000940100 is an abundant number, since it is smaller than the sum of its proper divisors (1895114124).

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

1000940100 is a wasteful number, since it uses less digits than its factorization.

1000940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336484 (or 3336477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1000940100 is about 31637.6373959877. The cubic root of 1000940100 is about 1000.3132685193.

The spelling of 1000940100 in words is "one billion, nine hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3336467 6672934 10009401 13345868 16682335 20018802 33364670 40037604 50047005 66729340 83411675 100094010 166823350 200188020 250235025 333646700 500470050 1000940100