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4103120200 = 235243677121
BaseRepresentation
bin1111010010010000…
…1010010101001000
3101120221202002202211
43310210022111020
531400344321300
61515052034504
7203451642364
oct36444122510
911527662684
104103120200
111816116a33
12966162a34
135050b849a
142acd182a4
151903444ba
hexf490a548

4103120200 has 96 divisors (see below), whose sum is σ = 9908696160. Its totient is φ = 1578931200.

The previous prime is 4103120183. The next prime is 4103120207. The reversal of 4103120200 is 20213014.

It is not an unprimeable number, because it can be changed into a prime (4103120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572640 + ... + 579760.

It is an arithmetic number, because the mean of its divisors is an integer number (103215585).

Almost surely, 24103120200 is an apocalyptic number.

4103120200 is a gapful number since it is divisible by the number (40) 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 4103120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954348080).

4103120200 is an abundant number, since it is smaller than the sum of its proper divisors (5805575960).

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

4103120200 is a wasteful number, since it uses less digits than its factorization.

4103120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4103120200 is about 64055.6024091570. The cubic root of 4103120200 is about 1600.9265726858.

Adding to 4103120200 its reverse (20213014), we get a palindrome (4123333214).

The spelling of 4103120200 in words is "four billion, one hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 67 86 100 134 172 200 215 268 335 344 430 536 670 860 1075 1340 1675 1720 2150 2680 2881 3350 4300 5762 6700 7121 8600 11524 13400 14242 14405 23048 28484 28810 35605 56968 57620 71210 72025 115240 142420 144050 178025 284840 288100 306203 356050 477107 576200 612406 712100 954214 1224812 1424200 1531015 1908428 2385535 2449624 3062030 3816856 4771070 6124060 7655075 9542140 11927675 12248120 15310150 19084280 20515601 23855350 30620300 41031202 47710700 61240600 82062404 95421400 102578005 164124808 205156010 410312020 512890025 820624040 1025780050 2051560100 4103120200