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10002233320 = 2352331073201
BaseRepresentation
bin10010101000010110…
…11111011111101000
3221211001222002122221
421110023133133220
5130441032431240
64332302323424
7502602403042
oct112413373750
927731862587
1010002233320
114272aaaa32
121b31889574
13c352bcb71
146ac584a92
153d819ea4a
hex2542df7e8

10002233320 has 32 divisors (see below), whose sum is σ = 22601634120. Its totient is φ = 3983718400.

The previous prime is 10002233309. The next prime is 10002233333. The reversal of 10002233320 is 2333220001.

It can be written as a sum of positive squares in 4 ways, for example, as 3471330724 + 6530902596 = 58918^2 + 80814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002233294 and 10002233303.

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 7 ways as a sum of consecutive naturals, for example, 527281 + ... + 545920.

Almost surely, 210002233320 is an apocalyptic number.

10002233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002233320 is an abundant number, since it is smaller than the sum of its proper divisors (12599400800).

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

10002233320 is a wasteful number, since it uses less digits than its factorization.

10002233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073445 (or 1073441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10002233320 its reverse (2333220001), we get a palindrome (12335453321).

The spelling of 10002233320 in words is "ten billion, two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 4660 9320 1073201 2146402 4292804 5366005 8585608 10732010 21464020 42928040 250055833 500111666 1000223332 1250279165 2000446664 2500558330 5001116660 10002233320