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122131320131123 = 359346187735953
BaseRepresentation
bin11011110001001111101001…
…111100111100111000110011
3121000102122021200121201222122
4123301033221330330320303
5112001444420423143443
61111430204240024455
734503460652323322
oct3361175174747063
9530378250551878
10122131320131123
1135a07669291186
1211845a5000212b
13531bc1b1cb834
14222328a46a0b9
15e1bdb1311968
hex6f13e9f3ce33

122131320131123 has 8 divisors (see below), whose sum is σ = 122168122607088. Its totient is φ = 122094519226624.

The previous prime is 122131320131081. The next prime is 122131320131137. The reversal of 122131320131123 is 321131023131221.

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 122131320131123 - 28 = 122131320130867 is a prime.

It is a super-2 number, since 2×1221313201311232 (a number of 29 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 = 122131320131092 and 122131320131101.

It is not an unprimeable number, because it can be changed into a prime (122131320131143) 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 7 ways as a sum of consecutive naturals, for example, 165581915 + ... + 166317867.

It is an arithmetic number, because the mean of its divisors is an integer number (15271015325886).

Almost surely, 2122131320131123 is an apocalyptic number.

122131320131123 is a deficient number, since it is larger than the sum of its proper divisors (36802475965).

122131320131123 is an equidigital number, since it uses as much as digits as its factorization.

122131320131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785733.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122131320131123 its reverse (321131023131221), we get a palindrome (443262343262344).

The spelling of 122131320131123 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3593 46187 735953 165949891 2644279129 33991461211 122131320131123