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2400232324001 is a prime number
BaseRepresentation
bin100010111011011000111…
…111101011101110100001
322111110102022120111120112
4202323120333223232201
5303311133433332001
65034352420421105
7335260665061361
oct42733077535641
98443368514515
102400232324001
11845a29633696
12329220b47795
13145458066725
148425984a9a1
154267eeb7cbb
hex22ed8febba1

2400232324001 has 2 divisors, whose sum is σ = 2400232324002. Its totient is φ = 2400232324000.

The previous prime is 2400232323971. The next prime is 2400232324031. The reversal of 2400232324001 is 1004232320042.

It is a balanced prime because it is at equal distance from previous prime (2400232323971) and next prime (2400232324031).

It can be written as a sum of positive squares in only one way, i.e., 1680069630625 + 720162693376 = 1296175^2 + 848624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400232324001 - 210 = 2400232322977 is a prime.

It is a super-2 number, since 2×24002323240012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2400232324031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200116162000 + 1200116162001.

It is an arithmetic number, because the mean of its divisors is an integer number (1200116162001).

Almost surely, 22400232324001 is an apocalyptic number.

It is an amenable number.

2400232324001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400232324001 is an equidigital number, since it uses as much as digits as its factorization.

2400232324001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2400232324001 its reverse (1004232320042), we get a palindrome (3404464644043).

The spelling of 2400232324001 in words is "two trillion, four hundred billion, two hundred thirty-two million, three hundred twenty-four thousand, one".