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2001312023 is a prime number
BaseRepresentation
bin111011101001001…
…1001100100010111
312011110211011222112
41313102121210113
513044313441043
6530331021235
7100410604634
oct16722314427
95143734875
102001312023
11937763387
1247a29a81b
1325b8165c9
1414db1b18b
15baa71518
hex77499917

2001312023 has 2 divisors, whose sum is σ = 2001312024. Its totient is φ = 2001312022.

The previous prime is 2001312017. The next prime is 2001312031. The reversal of 2001312023 is 3202131002.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2001312023 - 216 = 2001246487 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001311989 and 2001312007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001317023) 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 as a sum of consecutive naturals, namely, 1000656011 + 1000656012.

It is an arithmetic number, because the mean of its divisors is an integer number (1000656012).

Almost surely, 22001312023 is an apocalyptic number.

2001312023 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001312023 is an equidigital number, since it uses as much as digits as its factorization.

2001312023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2001312023 is about 44736.0260081291. The cubic root of 2001312023 is about 1260.1964972374.

Adding to 2001312023 its reverse (3202131002), we get a palindrome (5203443025).

The spelling of 2001312023 in words is "two billion, one million, three hundred twelve thousand, twenty-three".