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332040312193 is a prime number
BaseRepresentation
bin1001101010011110010…
…01010001010110000001
31011202001110102112021111
410311033021101112001
520420004304442233
6412312012123321
732663161041262
oct4651711212601
91152043375244
10332040312193
111188aa111057
1254427766541
1325407b13a15
14120dc53a969
1589854aeacd
hex4d4f251581

332040312193 has 2 divisors, whose sum is σ = 332040312194. Its totient is φ = 332040312192.

The previous prime is 332040312161. The next prime is 332040312209. The reversal of 332040312193 is 391213040233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304182031729 + 27858280464 = 551527^2 + 166908^2 .

It is a cyclic number.

It is not a de Polignac number, because 332040312193 - 25 = 332040312161 is a prime.

It is a super-2 number, since 2×3320403121932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332040312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166020156096 + 166020156097.

It is an arithmetic number, because the mean of its divisors is an integer number (166020156097).

Almost surely, 2332040312193 is an apocalyptic number.

It is an amenable number.

332040312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

332040312193 is an equidigital number, since it uses as much as digits as its factorization.

332040312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The spelling of 332040312193 in words is "three hundred thirty-two billion, forty million, three hundred twelve thousand, one hundred ninety-three".