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103200303200 = 2552257501947
BaseRepresentation
bin110000000011100110…
…1111010100001100000
3100212101012120120220212
41200013031322201200
53142323234200300
6115224244353252
710312254050351
oct1400715724140
9325335516825
10103200303200
113a848976285
12180016a5828
139968856287
144dd00c7d28
152a40197935
hex180737a860

103200303200 has 72 divisors (see below), whose sum is σ = 252918546552. Its totient is φ = 41119416320.

The previous prime is 103200303197. The next prime is 103200303203. The reversal of 103200303200 is 2303002301.

It is an interprime number because it is at equal distance from previous prime (103200303197) and next prime (103200303203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200303203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45374 + ... + 456573.

It is an arithmetic number, because the mean of its divisors is an integer number (3512757591).

Almost surely, 2103200303200 is an apocalyptic number.

103200303200 is a gapful number since it is divisible by the number (10) 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 103200303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126459273276).

103200303200 is an abundant number, since it is smaller than the sum of its proper divisors (149718243352).

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

103200303200 is a wasteful number, since it uses less digits than its factorization.

103200303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502224 (or 502211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 103200303200 its reverse (2303002301), we get a palindrome (105503305501).

The spelling of 103200303200 in words is "one hundred three billion, two hundred million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 257 400 514 800 1028 1285 2056 2570 4112 5140 6425 8224 10280 12850 20560 25700 41120 51400 102800 205600 501947 1003894 2007788 2509735 4015576 5019470 8031152 10038940 12548675 16062304 20077880 25097350 40155760 50194700 80311520 100389400 129000379 200778800 258000758 401557600 516001516 645001895 1032003032 1290003790 2064006064 2580007580 3225009475 4128012128 5160015160 6450018950 10320030320 12900037900 20640060640 25800075800 51600151600 103200303200