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12303020122031 = 179201134177999
BaseRepresentation
bin1011001100001000010100…
…1001001101111110101111
31121120011020121220020010002
42303002011021031332233
53103033041122401111
642055532430534515
72406602210365352
oct263020511157657
947504217806102
1012303020122031
113a13755135521
1214684a866743b
136b3229129842
1430767dc84299
1516506a7ea63b
hexb308524dfaf

12303020122031 has 8 divisors (see below), whose sum is σ = 12377904480000. Its totient is φ = 12228204124440.

The previous prime is 12303020121971. The next prime is 12303020122037. The reversal of 12303020122031 is 13022102030321.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12303020122031 is a prime.

It is a super-2 number, since 2×123030201220312 (a number of 27 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 = 12303020121994 and 12303020122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303020122037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16729031 + ... + 17448968.

It is an arithmetic number, because the mean of its divisors is an integer number (1547238060000).

Almost surely, 212303020122031 is an apocalyptic number.

12303020122031 is a deficient number, since it is larger than the sum of its proper divisors (74884357969).

12303020122031 is a wasteful number, since it uses less digits than its factorization.

12303020122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34180189.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12303020122031 its reverse (13022102030321), we get a palindrome (25325122152352).

The spelling of 12303020122031 in words is "twelve trillion, three hundred three billion, twenty million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 179 2011 359969 34177999 6117861821 68731955989 12303020122031