Search a number
-
+
120392195728201 = 4143341320008279
BaseRepresentation
bin11011010111111011111110…
…000011110110001101001001
3120210021101022010020022122121
4123113323332003312031021
5111240001204101300301
61104015224452251241
734234022561651155
oct3327737603661511
9523241263208577
10120392195728201
11353a7052963701
1211604992910b21
135223c20c449b7
1421a3028958065
15ddba25d173a1
hex6d7efe0f6349

120392195728201 has 16 divisors (see below), whose sum is σ = 126233679116160. Its totient is φ = 114690650820480.

The previous prime is 120392195728183. The next prime is 120392195728229. The reversal of 120392195728201 is 102827591293021.

It is a cyclic number.

It is not a de Polignac number, because 120392195728201 - 217 = 120392195597129 is a prime.

It is a super-2 number, since 2×1203921957282012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120392195723201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3987021 + ... + 16021258.

It is an arithmetic number, because the mean of its divisors is an integer number (7889604944760).

Almost surely, 2120392195728201 is an apocalyptic number.

It is an amenable number.

120392195728201 is a deficient number, since it is larger than the sum of its proper divisors (5841483387959).

120392195728201 is a wasteful number, since it uses less digits than its factorization.

120392195728201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011776.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 120392195728201 in words is "one hundred twenty trillion, three hundred ninety-two billion, one hundred ninety-five million, seven hundred twenty-eight thousand, two hundred one".

Divisors: 1 41 43 1763 3413 139933 146759 6017119 20008279 820339439 860355997 35274595877 68288256227 2799818505307 2936395017761 120392195728201