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103224506141 = 1729209380337
BaseRepresentation
bin110000000100010101…
…0001111011100011101
3100212102220010020010002
41200020222033130131
53142400433144031
6115230511224045
710312666553021
oct1401052173435
9325386106102
10103224506141
113a8605a7309
1218009818025
13997087b743
144dd33c8381
152a42378ccb
hex1808a8f71d

103224506141 has 8 divisors (see below), whose sum is σ = 113065382520. Its totient is φ = 93802390528.

The previous prime is 103224506101. The next prime is 103224506179. The reversal of 103224506141 is 141605422301.

It can be written as a sum of positive squares in 4 ways, for example, as 4976738116 + 98247768025 = 70546^2 + 313445^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103224506141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103224506101) 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, 104689676 + ... + 104690661.

It is an arithmetic number, because the mean of its divisors is an integer number (14133172815).

Almost surely, 2103224506141 is an apocalyptic number.

It is an amenable number.

103224506141 is a deficient number, since it is larger than the sum of its proper divisors (9840876379).

103224506141 is a wasteful number, since it uses less digits than its factorization.

103224506141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209380383.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 103224506141 its reverse (141605422301), we get a palindrome (244829928442).

The spelling of 103224506141 in words is "one hundred three billion, two hundred twenty-four million, five hundred six thousand, one hundred forty-one".

Divisors: 1 17 29 493 209380337 3559465729 6072029773 103224506141