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332667000013 is a prime number
BaseRepresentation
bin1001101011101000111…
…11111001010011001101
31011210200010122120100111
410311310133321103031
520422300223000023
6412454120200021
733014540562415
oct4656437712315
91153603576314
10332667000013
111190a0937977
1254581609011
13254a78c4b0a
141215b86d645
1589c050000d
hex4d747f94cd

332667000013 has 2 divisors, whose sum is σ = 332667000014. Its totient is φ = 332667000012.

The previous prime is 332666999971. The next prime is 332667000041. The reversal of 332667000013 is 310000766233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210884845284 + 121782154729 = 459222^2 + 348973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332667000013 is a prime.

It is a super-2 number, since 2×3326670000132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332667000313) 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, 166333500006 + 166333500007.

It is an arithmetic number, because the mean of its divisors is an integer number (166333500007).

Almost surely, 2332667000013 is an apocalyptic number.

It is an amenable number.

332667000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

332667000013 is an equidigital number, since it uses as much as digits as its factorization.

332667000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 332667000013 its reverse (310000766233), we get a palindrome (642667766246).

The spelling of 332667000013 in words is "three hundred thirty-two billion, six hundred sixty-seven million, thirteen", and thus it is an aban number.