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10505000500 = 225330017001
BaseRepresentation
bin10011100100010010…
…11001011000110100
31000010010000022120121
421302021121120310
5133003240004000
64454222341324
7521216013421
oct116211313064
930103008517
1010505000500
1145008873a5
12205212a844
13cb5503637
1471925ad48
154173b2b1a
hex272259634

10505000500 has 48 divisors (see below), whose sum is σ = 22953844368. Its totient is φ = 4200000000.

The previous prime is 10505000449. The next prime is 10505000533. The reversal of 10505000500 is 500050501.

It can be written as a sum of positive squares in 8 ways, for example, as 3600720036 + 6904280464 = 60006^2 + 83092^2 .

It is a super-2 number, since 2×105050005002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497000 + ... + 1504000.

It is an arithmetic number, because the mean of its divisors is an integer number (478205091).

Almost surely, 210505000500 is an apocalyptic number.

10505000500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505000500 is an abundant number, since it is smaller than the sum of its proper divisors (12448843868).

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

10505000500 is a wasteful number, since it uses less digits than its factorization.

10505000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The spelling of 10505000500 in words is "ten billion, five hundred five million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 3001 6002 7001 12004 14002 15005 28004 30010 35005 60020 70010 75025 140020 150050 175025 300100 350050 375125 700100 750250 875125 1500500 1750250 3500500 21010001 42020002 84040004 105050005 210100010 420200020 525250025 1050500050 2101000100 2626250125 5252500250 10505000500