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103133300 = 22521576569
BaseRepresentation
bin1100010010110…
…11000001110100
321012001201021212
412021123001310
5202400231200
614122300552
72361422114
oct611330164
9235051255
10103133300
1153241636
122a657758
131849ca2a
14d9a9044
1590c3035
hex625b074

103133300 has 36 divisors (see below), whose sum is σ = 225259020. Its totient is φ = 40984320.

The previous prime is 103133291. The next prime is 103133333. The reversal of 103133300 is 3331301.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 103103716 = 172^2 + 10154^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12416 + ... + 18984.

It is an arithmetic number, because the mean of its divisors is an integer number (6257195).

Almost surely, 2103133300 is an apocalyptic number.

103133300 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 103133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112629510).

103133300 is an abundant number, since it is smaller than the sum of its proper divisors (122125720).

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

103133300 is a wasteful number, since it uses less digits than its factorization.

103133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 103133300 is about 10155.4566613225. The cubic root of 103133300 is about 468.9569444762.

Adding to 103133300 its reverse (3331301), we get a palindrome (106464601).

The spelling of 103133300 in words is "one hundred three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 6569 7850 13138 15700 26276 32845 65690 131380 164225 328450 656900 1031333 2062666 4125332 5156665 10313330 20626660 25783325 51566650 103133300