Search a number
-
+
101024442209 is a prime number
BaseRepresentation
bin101111000010110000…
…1101010011101100001
3100122202120022101202202
41132011201222131201
53123344224122314
6114224320222545
710204323406325
oct1360541523541
9318676271682
10101024442209
1139931733759
12176b4a6aa55
1396acb26c72
144c65131985
1529641480de
hex178586a761

101024442209 has 2 divisors, whose sum is σ = 101024442210. Its totient is φ = 101024442208.

The previous prime is 101024442139. The next prime is 101024442251. The reversal of 101024442209 is 902244420101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87947833600 + 13076608609 = 296560^2 + 114353^2 .

It is an emirp because it is prime and its reverse (902244420101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101024442209 - 212 = 101024438113 is a prime.

It is not a weakly prime, because it can be changed into another prime (101024442809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50512221104 + 50512221105.

It is an arithmetic number, because the mean of its divisors is an integer number (50512221105).

Almost surely, 2101024442209 is an apocalyptic number.

It is an amenable number.

101024442209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101024442209 is an equidigital number, since it uses as much as digits as its factorization.

101024442209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 101024442209 in words is "one hundred one billion, twenty-four million, four hundred forty-two thousand, two hundred nine".