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20121033040 = 245251512913
BaseRepresentation
bin10010101111010011…
…101001100101010000
31220221021021101100221
4102233103221211100
5312201441024130
613124331322424
71311421646623
oct225723514520
956837241327
1020121033040
118595886a29
123a965b0414
131b887a3b14
14d8c3cddba
157cb6c787a
hex4af4e9950

20121033040 has 20 divisors (see below), whose sum is σ = 46781402004. Its totient is φ = 8048413184.

The previous prime is 20121033019. The next prime is 20121033067. The reversal of 20121033040 is 4033012102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2645250624 + 17475782416 = 51432^2 + 132196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125756377 + ... + 125756536.

Almost surely, 220121033040 is an apocalyptic number.

20121033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121033040 is an abundant number, since it is smaller than the sum of its proper divisors (26660368964).

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

20121033040 is a wasteful number, since it uses less digits than its factorization.

20121033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251512926 (or 251512920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20121033040 its reverse (4033012102), we get a palindrome (24154045142).

The spelling of 20121033040 in words is "twenty billion, one hundred twenty-one million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251512913 503025826 1006051652 1257564565 2012103304 2515129130 4024206608 5030258260 10060516520 20121033040