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122310331131 = 3192145795283
BaseRepresentation
bin111000111101001000…
…0111000101011111011
3102200201000110121000010
41301322100320223323
54000442421044011
6132104422513003
711556651442452
oct1617220705373
9380630417003
10122310331131
1147964aa209a
121b855595763
13b6c2a38a01
145cc4103b99
1532acc181a6
hex1c7a438afb

122310331131 has 8 divisors (see below), whose sum is σ = 171663622720. Its totient is φ = 77248630152.

The previous prime is 122310331127. The next prime is 122310331133. The reversal of 122310331131 is 131133013221.

It is a happy number.

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

It is not a de Polignac number, because 122310331131 - 22 = 122310331127 is a prime.

It is a super-3 number, since 3×1223103311313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122310331098 and 122310331107.

It is not an unprimeable number, because it can be changed into a prime (122310331133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072897585 + ... + 1072897698.

It is an arithmetic number, because the mean of its divisors is an integer number (21457952840).

Almost surely, 2122310331131 is an apocalyptic number.

122310331131 is a deficient number, since it is larger than the sum of its proper divisors (49353291589).

122310331131 is a wasteful number, since it uses less digits than its factorization.

122310331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145795305.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 122310331131 its reverse (131133013221), we get a palindrome (253443344352).

The spelling of 122310331131 in words is "one hundred twenty-two billion, three hundred ten million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 19 57 2145795283 6437385849 40770110377 122310331131