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101213332289 is a prime number
BaseRepresentation
bin101111001000011001…
…0001110001101000001
3100200020201202000020122
41132100302032031001
53124241103113124
6114255144550025
710212106062266
oct1362062161501
9320221660218
10101213332289
1139a19318663
1217748182315
13970ccc1444
144c8226126d
152975a0a75e
hex1790c8e341

101213332289 has 2 divisors, whose sum is σ = 101213332290. Its totient is φ = 101213332288.

The previous prime is 101213332277. The next prime is 101213332333. The reversal of 101213332289 is 982233312101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100731968689 + 481363600 = 317383^2 + 21940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101213332289 is a prime.

It is not a weakly prime, because it can be changed into another prime (101213332589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606666144 + 50606666145.

It is an arithmetic number, because the mean of its divisors is an integer number (50606666145).

Almost surely, 2101213332289 is an apocalyptic number.

It is an amenable number.

101213332289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213332289 is an equidigital number, since it uses as much as digits as its factorization.

101213332289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 101213332289 in words is "one hundred one billion, two hundred thirteen million, three hundred thirty-two thousand, two hundred eighty-nine".