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103141144241 = 3721131319261
BaseRepresentation
bin110000000001110110…
…0001111011010110001
3100212020002021000002022
41200003230033122301
53142213113103431
6115214332401225
710310635155302
oct1400354173261
9325202230068
10103141144241
113a81853a283
1217ba5916215
139959512085
144dc62c87a9
152a39dae07b
hex1803b0f6b1

103141144241 has 8 divisors (see below), whose sum is σ = 105978954984. Its totient is φ = 100305976320.

The previous prime is 103141144237. The next prime is 103141144243. The reversal of 103141144241 is 142441141301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2490409216 + 100650735025 = 49904^2 + 317255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103141144241 - 22 = 103141144237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103141144241.

It is not an unprimeable number, because it can be changed into a prime (103141144243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581450 + ... + 737811.

It is an arithmetic number, because the mean of its divisors is an integer number (13247369373).

Almost surely, 2103141144241 is an apocalyptic number.

It is an amenable number.

103141144241 is a deficient number, since it is larger than the sum of its proper divisors (2837810743).

103141144241 is a wasteful number, since it uses less digits than its factorization.

103141144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321411.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 103141144241 its reverse (142441141301), we get a palindrome (245582285542).

The spelling of 103141144241 in words is "one hundred three billion, one hundred forty-one million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 37 2113 78181 1319261 48812657 2787598493 103141144241