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2120140000 = 25541123419
BaseRepresentation
bin111111001011110…
…1100010011100000
312110202102021022201
41332113230103200
513320223440000
6550213542544
7103352615116
oct17627542340
95422367281
102120140000
11998844620
124b2044a54
1327a31cc14
1416180dab6
15c61e496a
hex7e5ec4e0

2120140000 has 240 divisors, whose sum is σ = 5951594880. Its totient is φ = 735680000.

The previous prime is 2120139953. The next prime is 2120140037. The reversal of 2120140000 is 410212.

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

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 39 ways as a sum of consecutive naturals, for example, 5059791 + ... + 5060209.

It is an arithmetic number, because the mean of its divisors is an integer number (24798312).

Almost surely, 22120140000 is an apocalyptic number.

2120140000 is a gapful number since it is divisible by the number (20) 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 2120140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975797440).

2120140000 is an abundant number, since it is smaller than the sum of its proper divisors (3831454880).

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

2120140000 is a wasteful number, since it uses less digits than its factorization.

2120140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120140000 is about 46044.9780106365. The cubic root of 2120140000 is about 1284.6599351454.

Adding to 2120140000 its reverse (410212), we get a palindrome (2120550212).

The spelling of 2120140000 in words is "two billion, one hundred twenty million, one hundred forty thousand".