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4103131200 = 263527122117
BaseRepresentation
bin1111010010010000…
…1101000001000000
3101120221202122212020
43310210031001000
531400400144300
61515052201440
7203452016430
oct36444150100
911527678766
104103131200
111816124223
12966169280
135050c04ac
142acd1c2c0
151903478a0
hexf490d040

4103131200 has 168 divisors, whose sum is σ = 15384914112. Its totient is φ = 937850880.

The previous prime is 4103131189. The next prime is 4103131217. The reversal of 4103131200 is 21313014.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4103131200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27459 + ... + 94658.

Almost surely, 24103131200 is an apocalyptic number.

4103131200 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 4103131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692457056).

4103131200 is an abundant number, since it is smaller than the sum of its proper divisors (11281782912).

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

4103131200 is a wasteful number, since it uses less digits than its factorization.

4103131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122149 (or 122134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4103131200 is about 64055.6882720028. The cubic root of 4103131200 is about 1600.9280033188.

Adding to 4103131200 its reverse (21313014), we get a palindrome (4124444214).

The spelling of 4103131200 in words is "four billion, one hundred three million, one hundred thirty-one thousand, two hundred".