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2027311104 = 2123731337
BaseRepresentation
bin111100011010110…
…0101000000000000
312020021202002000110
41320311211000000
513122442423404
6533100151320
7101144601000
oct17065450000
95207662013
102027311104
11950400925
12486b38540
1326401a490
14153368000
15bcea9b89
hex78d65000

2027311104 has 416 divisors, whose sum is σ = 6972179200. Its totient is φ = 520224768.

The previous prime is 2027311093. The next prime is 2027311129. The reversal of 2027311104 is 4011137202.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54792174 + ... + 54792210.

Almost surely, 22027311104 is an apocalyptic number.

2027311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486089600).

2027311104 is an abundant number, since it is smaller than the sum of its proper divisors (4944868096).

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

2027311104 is an equidigital number, since it uses as much as digits as its factorization.

2027311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2027311104 is about 45025.6716107600. The cubic root of 2027311104 is about 1265.6301138839.

Adding to 2027311104 its reverse (4011137202), we get a palindrome (6038448306).

The spelling of 2027311104 in words is "two billion, twenty-seven million, three hundred eleven thousand, one hundred four".