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332248824001 is a prime number
BaseRepresentation
bin1001101010110111001…
…00101011100011000001
31011202120222210000201001
410311123210223203001
520420421144332001
6412344421212001
733001302256363
oct4653344534301
91152528700631
10332248824001
111189a6888066
1254485561001
132543c08b3a3
141211c0d6d33
15899894b001
hex4d5b92b8c1

332248824001 has 2 divisors, whose sum is σ = 332248824002. Its totient is φ = 332248824000.

The previous prime is 332248823999. The next prime is 332248824097. The reversal of 332248824001 is 100428842233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331660810000 + 588014001 = 575900^2 + 24249^2 .

It is a cyclic number.

It is not a de Polignac number, because 332248824001 - 21 = 332248823999 is a prime.

It is a super-2 number, since 2×3322488240012 (a number of 24 digits) contains 22 as substring.

Together with 332248823999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (332248824701) 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, 166124412000 + 166124412001.

It is an arithmetic number, because the mean of its divisors is an integer number (166124412001).

Almost surely, 2332248824001 is an apocalyptic number.

It is an amenable number.

332248824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

332248824001 is an equidigital number, since it uses as much as digits as its factorization.

332248824001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 332248824001 in words is "three hundred thirty-two billion, two hundred forty-eight million, eight hundred twenty-four thousand, one".