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101144232229 is a prime number
BaseRepresentation
bin101111000110010101…
…0101000000100100101
3100200001220201100210011
41132030222220010211
53124120410412404
6114244235530221
710210306534345
oct1361452500445
9320056640704
10101144232229
1139993311777
1217728bb9971
1396cb8a9431
144c76dd4d25
15296e90b604
hex178caa8125

101144232229 has 2 divisors, whose sum is σ = 101144232230. Its totient is φ = 101144232228.

The previous prime is 101144232173. The next prime is 101144232311. The reversal of 101144232229 is 922232441101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101143080900 + 1151329 = 318030^2 + 1073^2 .

It is a cyclic number.

It is not a de Polignac number, because 101144232229 - 211 = 101144230181 is a prime.

It is a super-3 number, since 3×1011442322293 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101144232229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101144235229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50572116114 + 50572116115.

It is an arithmetic number, because the mean of its divisors is an integer number (50572116115).

Almost surely, 2101144232229 is an apocalyptic number.

It is an amenable number.

101144232229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101144232229 is an equidigital number, since it uses as much as digits as its factorization.

101144232229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 101144232229 in words is "one hundred one billion, one hundred forty-four million, two hundred thirty-two thousand, two hundred twenty-nine".