Search a number
-
+
120414330203 = 2341671905863
BaseRepresentation
bin111000000100101000…
…0001101110101011011
3102111210212210202200112
41300021100031311123
53433102032031303
6131152332554535
711461656630116
oct1601120156533
9374725722615
10120414330203
1147081828582
121b406622a4b
13b47cca547b
145b8439b57d
1531eb54a0d8
hex1c0940dd5b

120414330203 has 16 divisors (see below), whose sum is σ = 130635542016. Its totient is φ = 110692464960.

The previous prime is 120414330167. The next prime is 120414330227. The reversal of 120414330203 is 302033414021.

It is a cyclic number.

It is not a de Polignac number, because 120414330203 - 212 = 120414326107 is a prime.

It is a super-2 number, since 2×1204143302032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120414330103) 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 15 ways as a sum of consecutive naturals, for example, 889751 + ... + 1016112.

It is an arithmetic number, because the mean of its divisors is an integer number (8164721376).

Almost surely, 2120414330203 is an apocalyptic number.

120414330203 is a deficient number, since it is larger than the sum of its proper divisors (10221211813).

120414330203 is a wasteful number, since it uses less digits than its factorization.

120414330203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905994.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 120414330203 its reverse (302033414021), we get a palindrome (422447744224).

The spelling of 120414330203 in words is "one hundred twenty billion, four hundred fourteen million, three hundred thirty thousand, two hundred three".

Divisors: 1 23 41 67 943 1541 2747 63181 1905863 43834849 78140383 127692821 1797228809 2936934883 5235405661 120414330203