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102803460500 = 225313211032
BaseRepresentation
bin101111110111110010…
…0000101000110010100
3100211100112211220002002
41133233210011012110
53141020141214000
6115121030534432
710266364665506
oct1375744050624
9324315756062
10102803460500
113a664967504
1217b10807418
13990457bb00
144d93505d76
152a1a4098d5
hex17ef905194

102803460500 has 108 divisors (see below), whose sum is σ = 243342895068. Its totient is φ = 37923787200.

The previous prime is 102803460457. The next prime is 102803460517. The reversal of 102803460500 is 5064308201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 72432033424 + 30371427076 = 269132^2 + 174274^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93202949 + ... + 93204051.

Almost surely, 2102803460500 is an apocalyptic number.

102803460500 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 102803460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121671447534).

102803460500 is an abundant number, since it is smaller than the sum of its proper divisors (140539434568).

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

102803460500 is an equidigital number, since it uses as much as digits as its factorization.

102803460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 102803460500 its reverse (5064308201), we get a palindrome (107867768701).

The spelling of 102803460500 in words is "one hundred two billion, eight hundred three million, four hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1103 1300 1625 1690 2206 3250 3380 4225 4412 5515 6500 8450 11030 14339 16900 21125 22060 27575 28678 42250 55150 57356 71695 84500 110300 137875 143390 186407 275750 286780 358475 372814 551500 716950 745628 932035 1216609 1433900 1792375 1864070 2433218 3584750 3728140 4660175 4866436 6083045 7169500 9320350 12166090 15815917 18640700 23300875 24332180 30415225 31631834 46601750 60830450 63263668 79079585 93203500 121660900 152076125 158159170 205606921 304152250 316318340 395397925 411213842 608304500 790795850 822427684 1028034605 1581591700 1976989625 2056069210 3953979250 4112138420 5140173025 7907958500 10280346050 20560692100 25700865125 51401730250 102803460500