Search a number
-
+
122221022131 = 131271393311609
BaseRepresentation
bin111000111010011110…
…0001100101110110011
3102200110210102020002101
41301310330030232303
54000302040202011
6132051512401231
711554515355405
oct1616474145663
9380423366071
10122221022131
11479196429aa
121b82b6a6217
13b6aa399450
145cb62d6b75
1532a4e762c1
hex1c74f0cbb3

122221022131 has 32 divisors (see below), whose sum is σ = 134100377600. Its totient is φ = 110721219840.

The previous prime is 122221022117. The next prime is 122221022149. The reversal of 122221022131 is 131220122221.

It is a cyclic number.

It is not a de Polignac number, because 122221022131 - 211 = 122221020083 is a prime.

It is a super-2 number, since 2×1222210221312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122221022099 and 122221022108.

It is not an unprimeable number, because it can be changed into a prime (122221022731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75960055 + ... + 75961663.

It is an arithmetic number, because the mean of its divisors is an integer number (4190636800).

Almost surely, 2122221022131 is an apocalyptic number.

122221022131 is a deficient number, since it is larger than the sum of its proper divisors (11879355469).

122221022131 is a wasteful number, since it uses less digits than its factorization.

122221022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122221022131 its reverse (131220122221), we get a palindrome (253441144352).

The spelling of 122221022131 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 13 127 139 331 1609 1651 1807 4303 17653 20917 42037 46009 204343 223651 229489 532579 546481 598117 2656459 2907463 5843143 6923527 28403677 67637533 74028481 75960859 369247801 879287929 962370253 9401617087 122221022131