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10012303332 = 2232617450761
BaseRepresentation
bin10010101001100011…
…11001111111100100
3221211202220201010100
421110301321333210
5131001122201312
64333302224100
7503054113503
oct112461717744
927752821110
1010012303332
114278758759
121b35125030
13c37407555
146ada4683a
153d8edd5dc
hex254c79fe4

10012303332 has 36 divisors (see below), whose sum is σ = 25349953356. Its totient is φ = 3332017920.

The previous prime is 10012303319. The next prime is 10012303339. The reversal of 10012303332 is 23330321001.

10012303332 is a `hidden beast` number, since 100 + 1 + 230 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2079907236 + 7932396096 = 45606^2 + 89064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10012303339) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 203169 + ... + 247592.

It is an arithmetic number, because the mean of its divisors is an integer number (704165371).

Almost surely, 210012303332 is an apocalyptic number.

10012303332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012303332 is an abundant number, since it is smaller than the sum of its proper divisors (15337650024).

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

10012303332 is a wasteful number, since it uses less digits than its factorization.

10012303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451388 (or 451383 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10012303332 its reverse (23330321001), we get a palindrome (33342624333).

The spelling of 10012303332 in words is "ten billion, twelve million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 5553 7404 11106 22212 450761 901522 1352283 1803044 2704566 4056849 5409132 8113698 16227396 278119537 556239074 834358611 1112478148 1668717222 2503075833 3337434444 5006151666 10012303332