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12320000301 = 3723711013557
BaseRepresentation
bin10110111100101010…
…00100100100101101
31011210121020212020110
423132111010210231
5200212410002201
65354300210233
7614205163140
oct133625044455
934717225213
1012320000301
115252356634
122479b39979
131214545c0b
1484c31a057
154c18d06d6
hex2de54492d

12320000301 has 64 divisors (see below), whose sum is σ = 20067803136. Its totient is φ = 6571488000.

The previous prime is 12320000293. The next prime is 12320000321. The reversal of 12320000301 is 10300002321.

It is a happy number.

12320000301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12320000301 - 23 = 12320000293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3461815 + ... + 3465371.

It is an arithmetic number, because the mean of its divisors is an integer number (313559424).

Almost surely, 212320000301 is an apocalyptic number.

It is an amenable number.

12320000301 is a deficient number, since it is larger than the sum of its proper divisors (7747802835).

12320000301 is a wasteful number, since it uses less digits than its factorization.

12320000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12320000301 its reverse (10300002321), we get a palindrome (22620002622).

The spelling of 12320000301 in words is "twelve billion, three hundred twenty million, three hundred one", and thus it is an aban number.

Divisors: 1 3 7 21 23 69 71 101 161 213 303 483 497 707 1491 1633 2121 2323 3557 4899 6969 7171 10671 11431 16261 21513 24899 34293 48783 50197 74697 81811 150591 164933 245433 252547 359257 494799 572677 757641 1077771 1154531 1718031 1767829 2514799 3463593 5303487 5808581 7544397 8262911 17425743 24788733 25507247 40660067 57840377 76521741 121980201 173521131 178550729 535652187 586666681 1760000043 4106666767 12320000301