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2100142304 = 25136078317
BaseRepresentation
bin111110100101101…
…1010000011100000
312102100210021122022
41331023122003200
513300114023204
6544221201012
7103020625601
oct17513320340
95370707568
102100142304
11988525aa7
124a7400168
1327613a870
1415ccc5da8
15c45945be
hex7d2da0e0

2100142304 has 48 divisors (see below), whose sum is σ = 4460577408. Its totient is φ = 967583232.

The previous prime is 2100142217. The next prime is 2100142309. The reversal of 2100142304 is 4032410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100142309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248354 + ... + 256670.

It is an arithmetic number, because the mean of its divisors is an integer number (92928696).

Almost surely, 22100142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230288704).

2100142304 is an abundant number, since it is smaller than the sum of its proper divisors (2360435104).

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

2100142304 is a wasteful number, since it uses less digits than its factorization.

2100142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2100142304 is about 45827.3095871883. The cubic root of 2100142304 is about 1280.6080899750.

Adding to 2100142304 its reverse (4032410012), we get a palindrome (6132552316).

The spelling of 2100142304 in words is "two billion, one hundred million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 607 1214 2428 4856 7891 8317 9712 15782 16634 19424 31564 33268 63128 66536 108121 126256 133072 216242 252512 266144 432484 864968 1729936 3459872 5048419 10096838 20193676 40387352 65629447 80774704 131258894 161549408 262517788 525035576 1050071152 2100142304