Search a number
-
+
122321120131 = 742727408979
BaseRepresentation
bin111000111101011101…
…0000010101110000011
3102200201202202201201201
41301322322002232003
54001003201321011
6132105450042031
711560142236330
oct1617272025603
9380652681651
10122321120131
11479700a1021
121b859119317
13b6c5045732
145cc5711987
1532adb49cc1
hex1c7ae82b83

122321120131 has 8 divisors (see below), whose sum is σ = 139799179520. Its totient is φ = 104843964168.

The previous prime is 122321120113. The next prime is 122321120143. The reversal of 122321120131 is 131021123221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122321120131 - 27 = 122321120003 is a prime.

It is a super-2 number, since 2×1223211201312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122321120099 and 122321120108.

It is not an unprimeable number, because it can be changed into a prime (122321120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94600 + ... + 503578.

It is an arithmetic number, because the mean of its divisors is an integer number (17474897440).

Almost surely, 2122321120131 is an apocalyptic number.

122321120131 is a deficient number, since it is larger than the sum of its proper divisors (17478059389).

122321120131 is an equidigital number, since it uses as much as digits as its factorization.

122321120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451713.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122321120131 its reverse (131021123221), we get a palindrome (253342243352).

The spelling of 122321120131 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 42727 299089 408979 2862853 17474445733 122321120131