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344223420220131 = 31929208241633527
BaseRepresentation
bin100111001000100011100001…
…0101011111000001011100011
31200010210102211000010102211120
41032101013002223320023203
5330104224031034021011
63220034020045143323
7132335215150222134
oct11621070253701343
91603712730112746
10344223420220131
119a753372912391
123273497ab5ab43
1311a0c18ac4729a
146100706969c8b
1529be093b24a06
hex13911c2af82e3

344223420220131 has 16 divisors (see below), whose sum is σ = 499779920467200. Its totient is φ = 209907566594208.

The previous prime is 344223420220087. The next prime is 344223420220151. The reversal of 344223420220131 is 131022024322443.

It is a happy number.

It is not a de Polignac number, because 344223420220131 - 213 = 344223420211939 is a prime.

It is a super-2 number, since 2×3442234202201312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344223420220092 and 344223420220101.

It is not an unprimeable number, because it can be changed into a prime (344223420220151) 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 15 ways as a sum of consecutive naturals, for example, 104120815111 + ... + 104120818416.

It is an arithmetic number, because the mean of its divisors is an integer number (31236245029200).

Almost surely, 2344223420220131 is an apocalyptic number.

344223420220131 is a deficient number, since it is larger than the sum of its proper divisors (155556500247069).

344223420220131 is a wasteful number, since it uses less digits than its factorization.

344223420220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208241633578.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 344223420220131 its reverse (131022024322443), we get a palindrome (475245444542574).

The spelling of 344223420220131 in words is "three hundred forty-four trillion, two hundred twenty-three billion, four hundred twenty million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 19 29 57 87 551 1653 208241633527 624724900581 3956591037013 6039007372283 11869773111039 18117022116849 114741140073377 344223420220131