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103120900 = 22521915399
BaseRepresentation
bin1100010010110…
…00000000000100
321012001002021121
412021120000010
5202344332100
614122123324
72361341011
oct611300004
9235032247
10103120900
1153233293
122a650544
13184971ac
14d9a4708
1590be51a
hex6258004

103120900 has 36 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 41024800.

The previous prime is 103120883. The next prime is 103120931. The reversal of 103120900 is 9021301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16401 + ... + 21799.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2103120900 is an apocalyptic number.

103120900 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 103120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

103120900 is an abundant number, since it is smaller than the sum of its proper divisors (121864700).

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

103120900 is a wasteful number, since it uses less digits than its factorization.

103120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 103120900 is about 10154.8461337432. The cubic root of 103120900 is about 468.9381490623.

The spelling of 103120900 in words is "one hundred three million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 5399 9550 10798 19100 21596 26995 53990 107980 134975 269950 539900 1031209 2062418 4124836 5156045 10312090 20624180 25780225 51560450 103120900