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101341121041 = 1271733460451
BaseRepresentation
bin101111001100001100…
…1101100101000010001
3100200120122012100110101
41132120121230220101
53130021311333131
6114315551532401
710215220213246
oct1363031545021
9320518170411
10101341121041
1139a8446a1a6
1217782b2a101
1397306145a4
144c952075cd
152981d4dc61
hex179866ca11

101341121041 has 8 divisors (see below), whose sum is σ = 102198242304. Its totient is φ = 100484924400.

The previous prime is 101341121027. The next prime is 101341121059. The reversal of 101341121041 is 140121143101.

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 101341121041 - 211 = 101341118993 is a prime.

It is a super-3 number, since 3×1013411210413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101341121341) 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, 10135 + ... + 450316.

It is an arithmetic number, because the mean of its divisors is an integer number (12774780288).

Almost surely, 2101341121041 is an apocalyptic number.

It is an amenable number.

101341121041 is a deficient number, since it is larger than the sum of its proper divisors (857121263).

101341121041 is a wasteful number, since it uses less digits than its factorization.

101341121041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462311.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101341121041 its reverse (140121143101), we get a palindrome (241462264142).

The spelling of 101341121041 in words is "one hundred one billion, three hundred forty-one million, one hundred twenty-one thousand, forty-one".

Divisors: 1 127 1733 220091 460451 58477277 797961583 101341121041