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332020133117 is a prime number
BaseRepresentation
bin1001101010011011111…
…00010010110011111101
31011202000001110022210022
410311031330102303331
520414434123224432
6412310011421525
732662524365201
oct4651574226375
91152001408708
10332020133117
11118899789232
1254420a548a5
1325403899c3a
14120d99a6b01
158983825b12
hex4d4df12cfd

332020133117 has 2 divisors, whose sum is σ = 332020133118. Its totient is φ = 332020133116.

The previous prime is 332020133099. The next prime is 332020133177. The reversal of 332020133117 is 711331020233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330631900036 + 1388233081 = 575006^2 + 37259^2 .

It is a cyclic number.

It is not a de Polignac number, because 332020133117 - 226 = 331953024253 is a prime.

It is a super-3 number, since 3×3320201331173 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332020133177) 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 as a sum of consecutive naturals, namely, 166010066558 + 166010066559.

It is an arithmetic number, because the mean of its divisors is an integer number (166010066559).

Almost surely, 2332020133117 is an apocalyptic number.

It is an amenable number.

332020133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

332020133117 is an equidigital number, since it uses as much as digits as its factorization.

332020133117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 332020133117 in words is "three hundred thirty-two billion, twenty million, one hundred thirty-three thousand, one hundred seventeen".