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32946331081 is a prime number
BaseRepresentation
bin11110101011110000…
…010001110111001001
310011001002100000210111
4132223300101313021
51014433230043311
623045122114321
72244304123246
oct365360216711
9104032300714
1032946331081
1112a773881a4
1264757ab9a1
133150908281
1418478805cd
15ccc61ad21
hex7abc11dc9

32946331081 has 2 divisors, whose sum is σ = 32946331082. Its totient is φ = 32946331080.

The previous prime is 32946331079. The next prime is 32946331127. The reversal of 32946331081 is 18013364923.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23456454025 + 9489877056 = 153155^2 + 97416^2 .

It is a cyclic number.

It is not a de Polignac number, because 32946331081 - 21 = 32946331079 is a prime.

It is a super-2 number, since 2×329463310812 (a number of 22 digits) contains 22 as substring.

Together with 32946331079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (32946331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16473165540 + 16473165541.

It is an arithmetic number, because the mean of its divisors is an integer number (16473165541).

Almost surely, 232946331081 is an apocalyptic number.

It is an amenable number.

32946331081 is a deficient number, since it is larger than the sum of its proper divisors (1).

32946331081 is an equidigital number, since it uses as much as digits as its factorization.

32946331081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 32946331081 in words is "thirty-two billion, nine hundred forty-six million, three hundred thirty-one thousand, eighty-one".