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2100334320 = 243357314481
BaseRepresentation
bin111110100110000…
…1000111011110000
312102101011001001000
41331030020323300
513300141144240
6544225242000
7103022355450
oct17514107360
95371131030
102100334320
11988647297
124a7493300
132761a7096
1415cd35d60
15c45d1430
hex7d308ef0

2100334320 has 320 divisors, whose sum is σ = 8536596480. Its totient is φ = 464486400.

The previous prime is 2100334253. The next prime is 2100334321. The reversal of 2100334320 is 234330012.

2100334320 is a `hidden beast` number, since 2 + 10 + 0 + 334 + 320 = 666.

It is a super-2 number, since 2×21003343202 = 8822808511539724800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100334293 and 2100334302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100334321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466480 + ... + 470960.

It is an arithmetic number, because the mean of its divisors is an integer number (26676864).

Almost surely, 22100334320 is an apocalyptic number.

2100334320 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 2100334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268298240).

2100334320 is an abundant number, since it is smaller than the sum of its proper divisors (6436262160).

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

2100334320 is a wasteful number, since it uses less digits than its factorization.

2100334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2100334320 is about 45829.4045346435. The cubic root of 2100334320 is about 1280.6471174493.

Adding to 2100334320 its reverse (234330012), we get a palindrome (2334664332).

The spelling of 2100334320 in words is "two billion, one hundred million, three hundred thirty-four thousand, three hundred twenty".