Search a number
-
+
120103043121 = 3229355781769
BaseRepresentation
bin110111111011010110…
…0110000000000110001
3102111000012001202002100
41233312230300000301
53431432334334441
6131101413011013
711451160010445
oct1576654600061
9374005052070
10120103043121
1146a32044a26
121b33a323a69
13b430655029
145b54cca825
1531ce05bcb6
hex1bf6b30031

120103043121 has 24 divisors (see below), whose sum is σ = 174388916520. Its totient is φ = 79651190016.

The previous prime is 120103043077. The next prime is 120103043153. The reversal of 120103043121 is 121340301021.

120103043121 is a `hidden beast` number, since 1 + 201 + 0 + 30 + 431 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5969880225 + 114133162896 = 77265^2 + 337836^2 .

It is not a de Polignac number, because 120103043121 - 26 = 120103043057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120103043094 and 120103043103.

It is not an unprimeable number, because it can be changed into a prime (120103043821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427925 + ... + 1509693.

It is an arithmetic number, because the mean of its divisors is an integer number (7266204855).

Almost surely, 2120103043121 is an apocalyptic number.

It is an amenable number.

120103043121 is a deficient number, since it is larger than the sum of its proper divisors (54285873399).

120103043121 is a wasteful number, since it uses less digits than its factorization.

120103043121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82625 (or 82622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120103043121 its reverse (121340301021), we get a palindrome (241443344142).

The spelling of 120103043121 in words is "one hundred twenty billion, one hundred three million, forty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 293 557 879 1671 2637 5013 81769 163201 245307 489603 735921 1468809 23958317 45545333 71874951 136635999 215624853 409907997 13344782569 40034347707 120103043121