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2401351323001 is a prime number
BaseRepresentation
bin100010111100011011101…
…100010100110101111001
322111120022022011112121221
4202330123230110311321
5303320431414314001
65035055432432041
7335330503314211
oct42743354246571
98446268145557
102401351323001
11846453245154
12329493848621
131455a5b3a007
14843242d3241
15426e83531a1
hex22f1bb14d79

2401351323001 has 2 divisors, whose sum is σ = 2401351323002. Its totient is φ = 2401351323000.

The previous prime is 2401351322999. The next prime is 2401351323023. The reversal of 2401351323001 is 1003231531042.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1860015902976 + 541335420025 = 1363824^2 + 735755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2401351323001 - 21 = 2401351322999 is a prime.

Together with 2401351322999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2401351323031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200675661500 + 1200675661501.

It is an arithmetic number, because the mean of its divisors is an integer number (1200675661501).

Almost surely, 22401351323001 is an apocalyptic number.

It is an amenable number.

2401351323001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401351323001 is an equidigital number, since it uses as much as digits as its factorization.

2401351323001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 2401351323001 its reverse (1003231531042), we get a palindrome (3404582854043).

The spelling of 2401351323001 in words is "two trillion, four hundred one billion, three hundred fifty-one million, three hundred twenty-three thousand, one".