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103141042342041 = 311192333591966589
BaseRepresentation
bin10111011100111001100101…
…001100001100100010011001
3111112012012001120122010221210
4113130321211030030202121
5102004330323314421131
61003210201333053333
730503460115420614
oct2734714514144231
9445165046563853
10103141042342041
112a95596357aaa0
12b699512487249
13457220a47b872
141b680a594717b
15bdce064cc146
hex5dce6530c899

103141042342041 has 64 divisors (see below), whose sum is σ = 159038919936000. Its totient is φ = 58801295854080.

The previous prime is 103141042342027. The next prime is 103141042342087. The reversal of 103141042342041 is 140243240141301.

It is a happy number.

It is not a de Polignac number, because 103141042342041 - 221 = 103141040244889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103141042342241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51463375 + ... + 53429963.

It is an arithmetic number, because the mean of its divisors is an integer number (2484983124000).

Almost surely, 2103141042342041 is an apocalyptic number.

103141042342041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103141042342041 is a deficient number, since it is larger than the sum of its proper divisors (55897877593959).

103141042342041 is a wasteful number, since it uses less digits than its factorization.

103141042342041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967214.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 103141042342041 its reverse (140243240141301), we get a palindrome (243384282483342).

The spelling of 103141042342041 in words is "one hundred three trillion, one hundred forty-one billion, forty-two million, three hundred forty-two thousand, forty-one".

Divisors: 1 3 11 19 33 57 209 233 359 627 699 1077 2563 3949 4427 6821 7689 11847 13281 20463 48697 75031 83647 146091 225093 250941 920117 1589293 1966589 2760351 4767879 5899767 17482223 21632479 37365191 52446669 64897437 112095573 411017101 458215237 706005451 1233051303 1374645711 2118016353 5040367607 7766059961 8706089503 13414103569 15121102821 23298179883 26118268509 40242310707 95766984533 147555139259 164499270083 287300953599 442665417777 493497810249 1809491970913 3125486131577 5428475912739 9376458394731 34380347447347 103141042342041