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102042012 = 2238503501
BaseRepresentation
bin1100001010100…
…00100110011100
321010000021022210
412011100212130
5202110321022
614043040420
72346225402
oct605204634
9233007283
10102042012
1152666746
122a210110
13181aa0b7
14d7a3472
158e59a0c
hex615099c

102042012 has 12 divisors (see below), whose sum is σ = 238098056. Its totient is φ = 34014000.

The previous prime is 102042011. The next prime is 102042019. The reversal of 102042012 is 210240201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8503501 = 102042012 / (1 + 0 + 2 + 0 + 4 + 2 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4251739 + ... + 4251762.

Almost surely, 2102042012 is an apocalyptic number.

102042012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102042012 is an abundant number, since it is smaller than the sum of its proper divisors (136056044).

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

102042012 is a wasteful number, since it uses less digits than its factorization.

102042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503508 (or 8503506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102042012 is about 10101.5846281660. The cubic root of 102042012 is about 467.2970123554.

Adding to 102042012 its reverse (210240201), we get a palindrome (312282213).

The spelling of 102042012 in words is "one hundred two million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 8503501 17007002 25510503 34014004 51021006 102042012