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12002130001 = 139251463743
BaseRepresentation
bin10110010110110000…
…11111100001010001
31010222110010101011101
423023120133201101
5144040021130001
65302543144401
7603265264441
oct131330374121
933873111141
1012002130001
1150a9986a04
1223ab5a5101
13119372c194
1481c014121
154a3a41a01
hex2cb61f851

12002130001 has 16 divisors (see below), whose sum is σ = 12179220480. Its totient is φ = 11826738000.

The previous prime is 12002129987. The next prime is 12002130011. The reversal of 12002130001 is 10003120021.

12002130001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002130001 is a prime.

It is a super-2 number, since 2×120021300012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12002130001.

It is not an unprimeable number, because it can be changed into a prime (12002130011) 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 15 ways as a sum of consecutive naturals, for example, 16153236 + ... + 16153978.

It is an arithmetic number, because the mean of its divisors is an integer number (761201280).

Almost surely, 212002130001 is an apocalyptic number.

It is an amenable number.

12002130001 is a deficient number, since it is larger than the sum of its proper divisors (177090479).

12002130001 is a wasteful number, since it uses less digits than its factorization.

12002130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12002130001 its reverse (10003120021), we get a palindrome (22005250022).

The spelling of 12002130001 in words is "twelve billion, two million, one hundred thirty thousand, one".

Divisors: 1 139 251 463 743 34889 64357 103277 116213 186493 344009 16153607 25922527 47817251 86346259 12002130001