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2181234082801 is a prime number
BaseRepresentation
bin11111101111011011101…
…011101100001111110001
321201112010221202011120011
4133233123223230033301
5241214131411122201
64350013424214521
7313406004535144
oct37573353541761
97645127664504
102181234082801
11771068858704
122b28a2a6a441
1312a8c6a74517
147780252c05b
153bb13c05151
hex1fbdbaec3f1

2181234082801 has 2 divisors, whose sum is σ = 2181234082802. Its totient is φ = 2181234082800.

The previous prime is 2181234082799. The next prime is 2181234082823. The reversal of 2181234082801 is 1082804321812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2172027488400 + 9206594401 = 1473780^2 + 95951^2 .

It is a cyclic number.

It is not a de Polignac number, because 2181234082801 - 21 = 2181234082799 is a prime.

Together with 2181234082799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2181234082861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1090617041400 + 1090617041401.

It is an arithmetic number, because the mean of its divisors is an integer number (1090617041401).

Almost surely, 22181234082801 is an apocalyptic number.

It is an amenable number.

2181234082801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2181234082801 is an equidigital number, since it uses as much as digits as its factorization.

2181234082801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 2181234082801 in words is "two trillion, one hundred eighty-one billion, two hundred thirty-four million, eighty-two thousand, eight hundred one".