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101361412241 = 17323386729
BaseRepresentation
bin101111001100110011…
…1000110100010010001
3100200122001101020202022
41132121213012202101
53130042010142431
6114321554501225
710215554534255
oct1363147064221
9320561336668
10101361412241
1139a94969291
1217789894815
13973489a40b
144c97baa265
152983a0b07b
hex17999c6891

101361412241 has 6 divisors (see below), whose sum is σ = 101950733190. Its totient is φ = 100775478368.

The previous prime is 101361412189. The next prime is 101361412279. The reversal of 101361412241 is 142214163101.

It can be written as a sum of positive squares in 3 ways, for example, as 50057350225 + 51304062016 = 223735^2 + 226504^2 .

It is a de Polignac number, because none of the positive numbers 2k-101361412241 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 101361412241.

It is not an unprimeable number, because it can be changed into a prime (101361412291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1663436 + ... + 1723293.

It is an arithmetic number, because the mean of its divisors is an integer number (16991788865).

Almost surely, 2101361412241 is an apocalyptic number.

It is an amenable number.

101361412241 is a deficient number, since it is larger than the sum of its proper divisors (589320949).

101361412241 is an frugal number, since it uses more digits than its factorization.

101361412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387075 (or 3386902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101361412241 its reverse (142214163101), we get a palindrome (243575575342).

The spelling of 101361412241 in words is "one hundred one billion, three hundred sixty-one million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 173 29929 3386729 585904117 101361412241