Search a number
-
+
120410000001 = 3213378888889
BaseRepresentation
bin111000000100011111…
…1101100101010000001
3102111210120122202202200
41300020333230222001
53433044430000001
6131152100103413
711461605053454
oct1601077545201
9374716582680
10120410000001
114707a3401a5
121b405094b69
13b47c11a515
145b8399149b
1531eae92086
hex1c08feca81

120410000001 has 6 divisors (see below), whose sum is σ = 173925555570. Its totient is φ = 80273333328.

The previous prime is 120409999943. The next prime is 120410000033. The reversal of 120410000001 is 100000014021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113218790400 + 7191209601 = 336480^2 + 84801^2 .

It is not a de Polignac number, because 120410000001 - 222 = 120405805697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13378888889 = 120410000001 / (1 + 2 + 0 + 4 + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (120410000041) 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 5 ways as a sum of consecutive naturals, for example, 6689444436 + ... + 6689444453.

It is an arithmetic number, because the mean of its divisors is an integer number (28987592595).

Almost surely, 2120410000001 is an apocalyptic number.

It is an amenable number.

120410000001 is a deficient number, since it is larger than the sum of its proper divisors (53515555569).

120410000001 is a wasteful number, since it uses less digits than its factorization.

120410000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378888895 (or 13378888892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120410000001 its reverse (100000014021), we get a palindrome (220410014022).

The spelling of 120410000001 in words is "one hundred twenty billion, four hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 9 13378888889 40136666667 120410000001