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4102230825 = 345271126309
BaseRepresentation
bin1111010010000011…
…0001001100101001
3101120220001220210000
43310200301030221
531400132341300
61515021013213
7203441246430
oct36440611451
911526056700
104102230825
111815669810
129659b4209
13504b66724
142acb66117
1519021ac00
hexf4831329

4102230825 has 120 divisors (see below), whose sum is σ = 9474125760. Its totient is φ = 1704758400.

The previous prime is 4102230817. The next prime is 4102230833. The reversal of 4102230825 is 5280322014.

4102230825 is a `hidden beast` number, since 410 + 223 + 0 + 8 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (4102230817) and next prime (4102230833).

It is not a de Polignac number, because 4102230825 - 23 = 4102230817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142771 + ... + 169079.

It is an arithmetic number, because the mean of its divisors is an integer number (78951048).

Almost surely, 24102230825 is an apocalyptic number.

4102230825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4102230825 is an abundant number, since it is smaller than the sum of its proper divisors (5371894935).

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

4102230825 is a wasteful number, since it uses less digits than its factorization.

4102230825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26349 (or 26335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4102230825 is about 64048.6598220447. The cubic root of 4102230825 is about 1600.8108943006.

Adding to 4102230825 its reverse (5280322014), we get a palindrome (9382552839).

The spelling of 4102230825 in words is "four billion, one hundred two million, two hundred thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 275 297 315 385 405 495 525 567 675 693 825 891 945 1155 1485 1575 1925 2025 2079 2475 2835 3465 4455 4725 5775 6237 7425 10395 14175 17325 22275 26309 31185 51975 78927 131545 155925 184163 236781 289399 394635 552489 657725 710343 868197 920815 1183905 1446995 1657467 1973175 2025793 2131029 2604591 2762445 3551715 4340985 4604075 4972401 5919525 6077379 7234975 7813773 8287335 10128965 10655145 13022955 13812225 14917203 17758575 18232137 21704925 23441319 24862005 30386895 39068865 41436675 50644825 53275725 54696411 65114775 74586015 91160685 117206595 124310025 151934475 164089233 195344325 273482055 372930075 455803425 586032975 820446165 1367410275 4102230825