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2312000212001 is a prime number
BaseRepresentation
bin100001101001001101111…
…100111000110000100001
322012000200021021210212112
4201221031330320300201
5300334434023241001
64530041312205105
7326015343356264
oct41511574706041
98160607253775
102312000212001
11811571933a67
123140b8239795
1313a0365a012c
147dc89666cdb
1540218e4ecbb
hex21a4df38c21

2312000212001 has 2 divisors, whose sum is σ = 2312000212002. Its totient is φ = 2312000212000.

The previous prime is 2312000211923. The next prime is 2312000212057. The reversal of 2312000212001 is 1002120002132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2101777962001 + 210222250000 = 1449751^2 + 458500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2312000212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2312000212061) 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 as a sum of consecutive naturals, namely, 1156000106000 + 1156000106001.

It is an arithmetic number, because the mean of its divisors is an integer number (1156000106001).

Almost surely, 22312000212001 is an apocalyptic number.

It is an amenable number.

2312000212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312000212001 is an equidigital number, since it uses as much as digits as its factorization.

2312000212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2312000212001 its reverse (1002120002132), we get a palindrome (3314120214133).

The spelling of 2312000212001 in words is "two trillion, three hundred twelve billion, two hundred twelve thousand, one".