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103143200 = 2552314159
BaseRepresentation
bin1100010010111…
…01011100100000
321012002012212112
412021131130200
5202401040300
614122414452
72361463016
oct611353440
9235065775
10103143200
1153249016
122a661428
13184a43a4
14d9ac8b6
1590c5e35
hex625d720

103143200 has 72 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 39916800.

The previous prime is 103143181. The next prime is 103143223. The reversal of 103143200 is 2341301.

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, 22721 + ... + 26879.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2103143200 is an apocalyptic number.

103143200 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 103143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

103143200 is an abundant number, since it is smaller than the sum of its proper divisors (156840160).

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

103143200 is a wasteful number, since it uses less digits than its factorization.

103143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103143200 is about 10155.9440723155. The cubic root of 103143200 is about 468.9719494106.

Adding to 103143200 its reverse (2341301), we get a palindrome (105484501).

The spelling of 103143200 in words is "one hundred three million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4159 4960 6200 8318 12400 16636 20795 24800 33272 41590 66544 83180 103975 128929 133088 166360 207950 257858 332720 415900 515716 644645 665440 831800 1031432 1289290 1663600 2062864 2578580 3223225 3327200 4125728 5157160 6446450 10314320 12892900 20628640 25785800 51571600 103143200