Search a number
-
+
104224342210301 = 19311372814596497
BaseRepresentation
bin10111101100101010011110…
…111001001111011011111101
3111200000202020121110022200202
4113230222132321033123331
5102130102423101212201
61005400000220533245
730644650234364465
oct2754523671173375
9450022217408622
10104224342210301
1130233328066915
12b8334613b1225
13462040c416581
141ba46b10acba5
15c0b1aac8ac6b
hex5eca9ee4f6fd

104224342210301 has 32 divisors (see below), whose sum is σ = 114481482347520. Its totient is φ = 94518666547200.

The previous prime is 104224342210217. The next prime is 104224342210319. The reversal of 104224342210301 is 103012243422401.

It is a cyclic number.

It is not a de Polignac number, because 104224342210301 - 226 = 104224275101437 is a prime.

It is a super-2 number, since 2×1042243422103012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104224342210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20376485 + ... + 24972981.

It is an arithmetic number, because the mean of its divisors is an integer number (3577546323360).

Almost surely, 2104224342210301 is an apocalyptic number.

It is an amenable number.

104224342210301 is a deficient number, since it is larger than the sum of its proper divisors (10257140137219).

104224342210301 is a wasteful number, since it uses less digits than its factorization.

104224342210301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596965.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 104224342210301 its reverse (103012243422401), we get a palindrome (207236585632702).

The spelling of 104224342210301 in words is "one hundred four trillion, two hundred twenty-four billion, three hundred forty-two million, two hundred ten thousand, three hundred one".

Divisors: 1 19 31 137 281 589 2603 4247 5339 8711 38497 80693 165509 731443 1193407 4596497 22674733 87333443 142491407 629720089 1291615657 2707336733 11964681691 19521322759 24540697483 40040085367 176951345009 370905132421 760761621973 3362075555171 5485491695279 104224342210301