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321121100081 is a prime number
BaseRepresentation
bin1001010110001000100…
…11110010000100110001
31010200212111000002012002
410223010103302010301
520230124000200311
6403304311343345
732125452212525
oct4530423620461
91120774002162
10321121100081
11114206542411
125229a981b55
1324387864272
1411784299d85
158546a7c93b
hex4ac44f2131

321121100081 has 2 divisors, whose sum is σ = 321121100082. Its totient is φ = 321121100080.

The previous prime is 321121100063. The next prime is 321121100141. The reversal of 321121100081 is 180001121123.

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., 312974232481 + 8146867600 = 559441^2 + 90260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321121100081 is a prime.

It is a super-2 number, since 2×3211211000812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321121108081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160560550040 + 160560550041.

It is an arithmetic number, because the mean of its divisors is an integer number (160560550041).

Almost surely, 2321121100081 is an apocalyptic number.

It is an amenable number.

321121100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

321121100081 is an equidigital number, since it uses as much as digits as its factorization.

321121100081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 321121100081 in words is "three hundred twenty-one billion, one hundred twenty-one million, one hundred thousand, eighty-one".