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2121342300 = 22325272114373
BaseRepresentation
bin111111001110001…
…0001110101011100
312110211200100120100
41332130101311130
513321030423200
6550255421100
7103366053300
oct17634216534
95424610510
102121342300
11999495960
124b2524790
1327a65123c
14161a43d00
15c6380d00
hex7e711d5c

2121342300 has 324 divisors, whose sum is σ = 8439912936. Its totient is φ = 440697600.

The previous prime is 2121342287. The next prime is 2121342319. The reversal of 2121342300 is 32431212.

2121342300 is a `hidden beast` number, since 2 + 1 + 21 + 342 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 482914 + ... + 487286.

It is an arithmetic number, because the mean of its divisors is an integer number (26049114).

Almost surely, 22121342300 is an apocalyptic number.

2121342300 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 2121342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219956468).

2121342300 is an abundant number, since it is smaller than the sum of its proper divisors (6318570636).

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

2121342300 is a wasteful number, since it uses less digits than its factorization.

2121342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2121342300 is about 46058.0318728449. The cubic root of 2121342300 is about 1284.9027264656.

Adding to 2121342300 its reverse (32431212), we get a palindrome (2153773512).

The spelling of 2121342300 in words is "two billion, one hundred twenty-one million, three hundred forty-two thousand, three hundred".