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2104134300 = 22335223311093
BaseRepresentation
bin111110101101010…
…1000101010011100
312102122022002122000
41331122220222130
513302124244200
6544442522300
7103066563222
oct17532505234
95378262560
102104134300
1198a802274
124a8806390
13276c078a8
1415d644b12
15c4ad2300
hex7d6a8a9c

2104134300 has 288 divisors, whose sum is σ = 7292866560. Its totient is φ = 518918400.

The previous prime is 2104134293. The next prime is 2104134341. The reversal of 2104134300 is 34314012.

2104134300 is a `hidden beast` number, since 210 + 413 + 43 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1924554 + ... + 1925646.

Almost surely, 22104134300 is an apocalyptic number.

2104134300 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 2104134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646433280).

2104134300 is an abundant number, since it is smaller than the sum of its proper divisors (5188732260).

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

2104134300 is a wasteful number, since it uses less digits than its factorization.

2104134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

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

The square root of 2104134300 is about 45870.8436809266. The cubic root of 2104134300 is about 1281.4189789425.

Adding to 2104134300 its reverse (34314012), we get a palindrome (2138448312).

The spelling of 2104134300 in words is "two billion, one hundred four million, one hundred thirty-four thousand, three hundred".