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103123221200 = 2452257808053
BaseRepresentation
bin110000000001010011…
…1110111101011010000
3100212011211112102021222
41200002213313223100
53142144021034300
6115212452304212
710310326626446
oct1400247675320
9325154472258
10103123221200
113a80940844a
1217b9b912068
1399558a811c
144dc3b80b96
152a3851d785
hex18029f7ad0

103123221200 has 30 divisors (see below), whose sum is σ = 247753539894. Its totient is φ = 41249288320.

The previous prime is 103123221139. The next prime is 103123221209. The reversal of 103123221200 is 2122321301.

It can be written as a sum of positive squares in 3 ways, for example, as 346555456 + 102776665744 = 18616^2 + 320588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128903627 + ... + 128904426.

Almost surely, 2103123221200 is an apocalyptic number.

103123221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103123221200 is an abundant number, since it is smaller than the sum of its proper divisors (144630318694).

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

103123221200 is a wasteful number, since it uses less digits than its factorization.

103123221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257808071 (or 257808060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103123221200 its reverse (2122321301), we get a palindrome (105245542501).

The spelling of 103123221200 in words is "one hundred three billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 257808053 515616106 1031232212 1289040265 2062464424 2578080530 4124928848 5156161060 6445201325 10312322120 12890402650 20624644240 25780805300 51561610600 103123221200