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1005100050 = 235261109847
BaseRepresentation
bin111011111010001…
…001110000010010
32121001021101001210
4323322021300102
54024301200200
6243422440550
733623131563
oct7372116022
92531241053
101005100050
114763975a9
12240733156
13130304676
14976b816a
155d38c650
hex3be89c12

1005100050 has 48 divisors (see below), whose sum is σ = 2533534272. Its totient is φ = 263630400.

The previous prime is 1005100049. The next prime is 1005100081. The reversal of 1005100050 is 500015001.

1005100050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10051000502 = 2020452221020005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005099999 and 1005100035.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45774 + ... + 64073.

It is an arithmetic number, because the mean of its divisors is an integer number (52781964).

Almost surely, 21005100050 is an apocalyptic number.

1005100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005100050 is an abundant number, since it is smaller than the sum of its proper divisors (1528434222).

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

1005100050 is a wasteful number, since it uses less digits than its factorization.

1005100050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109923 (or 109918 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1005100050 is about 31703.3129183686. The cubic root of 1005100050 is about 1001.6971347708.

Adding to 1005100050 its reverse (500015001), we get a palindrome (1505115051).

The spelling of 1005100050 in words is "one billion, five million, one hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 3050 4575 9150 109847 219694 329541 549235 659082 1098470 1647705 2746175 3295410 5492350 6700667 8238525 13401334 16477050 20102001 33503335 40204002 67006670 100510005 167516675 201020010 335033350 502550025 1005100050