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12301000 = 235312301
BaseRepresentation
bin101110111011…
…001011001000
3212010221210121
4232323023020
511122113000
61115353024
7206361655
oct56731310
925127717
1012301000
116a41a18
124152774
132718cca
1418c2c2c
15112eb1a
hexbbb2c8

12301000 has 32 divisors (see below), whose sum is σ = 28786680. Its totient is φ = 4920000.

The previous prime is 12300997. The next prime is 12301001. The reversal of 12301000 is 10321.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 9498724 = 1674^2 + 3082^2 .

It is not an unprimeable number, because it can be changed into a prime (12301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5151 + ... + 7150.

Almost surely, 212301000 is an apocalyptic number.

12301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301000 is an abundant number, since it is smaller than the sum of its proper divisors (16485680).

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

12301000 is a wasteful number, since it uses less digits than its factorization.

12301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12301000 is about 3507.2781469396. The cubic root of 12301000 is about 230.8412794975.

Adding to 12301000 its reverse (10321), we get a palindrome (12311321).

The spelling of 12301000 in words is "twelve million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12301 24602 49204 61505 98408 123010 246020 307525 492040 615050 1230100 1537625 2460200 3075250 6150500 12301000