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101104140289 is a prime number
BaseRepresentation
bin101111000101001000…
…1101100000000000001
3100122222010021110222111
41132022101230000001
53124030124442124
6114240244335321
710206312004255
oct1361221540001
9318863243874
10101104140289
1139972719039
12177176a4541
1396c34acaa9
144c7195a265
15296b13c494
hex178a46c001

101104140289 has 2 divisors, whose sum is σ = 101104140290. Its totient is φ = 101104140288.

The previous prime is 101104140259. The next prime is 101104140349. The reversal of 101104140289 is 982041401101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63471244225 + 37632896064 = 251935^2 + 193992^2 .

It is a cyclic number.

It is not a de Polignac number, because 101104140289 - 211 = 101104138241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101104140289.

It is not a weakly prime, because it can be changed into another prime (101104140259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552070144 + 50552070145.

It is an arithmetic number, because the mean of its divisors is an integer number (50552070145).

Almost surely, 2101104140289 is an apocalyptic number.

It is an amenable number.

101104140289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101104140289 is an equidigital number, since it uses as much as digits as its factorization.

101104140289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 101104140289 in words is "one hundred one billion, one hundred four million, one hundred forty thousand, two hundred eighty-nine".