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1014012100 = 225210140121
BaseRepresentation
bin111100011100001…
…001100011000100
32121200001011002201
4330130021203010
54034041341400
6244341444244
734061650333
oct7434114304
92550034081
101014012100
11480424332
12243710684
13132104c7a
1498957d1a
155e04d06a
hex3c7098c4

1014012100 has 18 divisors (see below), whose sum is σ = 2200406474. Its totient is φ = 405604800.

The previous prime is 1014012071. The next prime is 1014012113. The reversal of 1014012100 is 12104101.

It can be written as a sum of positive squares in 3 ways, for example, as 8868484 + 1005143616 = 2978^2 + 31704^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5069961 + ... + 5070160.

Almost surely, 21014012100 is an apocalyptic number.

1014012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014012100 is an abundant number, since it is smaller than the sum of its proper divisors (1186394374).

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

1014012100 is a wasteful number, since it uses less digits than its factorization.

1014012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140135 (or 10140128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1014012100 is about 31843.5566480882. The cubic root of 1014012100 is about 1004.6490528135.

Adding to 1014012100 its reverse (12104101), we get a palindrome (1026116201).

The spelling of 1014012100 in words is "one billion, fourteen million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10140121 20280242 40560484 50700605 101401210 202802420 253503025 507006050 1014012100