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2100114320 = 245138119009
BaseRepresentation
bin111110100101101…
…0011001110010000
312102100201212020212
41331023103032100
513300112124240
6544220423252
7103020451163
oct17513231620
95370655225
102100114320
11988506a77
124a73a7b28
1327612abc5
1415ccb9ada
15c458b165
hex7d2d3390

2100114320 has 40 divisors (see below), whose sum is σ = 4886558520. Its totient is φ = 839393280.

The previous prime is 2100114293. The next prime is 2100114343. The reversal of 2100114320 is 234110012.

It can be written as a sum of positive squares in 4 ways, for example, as 460188304 + 1639926016 = 21452^2 + 40496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2100114295 and 2100114304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100976 + ... + 119984.

It is an arithmetic number, because the mean of its divisors is an integer number (122163963).

Almost surely, 22100114320 is an apocalyptic number.

2100114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100114320 is an abundant number, since it is smaller than the sum of its proper divisors (2786444200).

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

2100114320 is a wasteful number, since it uses less digits than its factorization.

2100114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20403 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2100114320 is about 45827.0042660438. The cubic root of 2100114320 is about 1280.6024019960.

Adding to 2100114320 its reverse (234110012), we get a palindrome (2334224332).

The spelling of 2100114320 in words is "two billion, one hundred million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1381 2762 5524 6905 11048 13810 19009 22096 27620 38018 55240 76036 95045 110480 152072 190090 304144 380180 760360 1520720 26251429 52502858 105005716 131257145 210011432 262514290 420022864 525028580 1050057160 2100114320