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164169331201 is a prime number
BaseRepresentation
bin1001100011100101000…
…0010011001000000001
3120200202020120010012001
42120321100103020001
510142204322044301
6203230210304001
714601161201521
oct2307120231001
9520666503161
10164169331201
1163695342427
1227997b88001
1312633c980c5
147d35545681
15440ca0ec01
hex2639413201

164169331201 has 2 divisors, whose sum is σ = 164169331202. Its totient is φ = 164169331200.

The previous prime is 164169331163. The next prime is 164169331213. The reversal of 164169331201 is 102133961461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137770880625 + 26398450576 = 371175^2 + 162476^2 .

It is a cyclic number.

It is not a de Polignac number, because 164169331201 - 211 = 164169329153 is a prime.

It is not a weakly prime, because it can be changed into another prime (164169131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82084665600 + 82084665601.

It is an arithmetic number, because the mean of its divisors is an integer number (82084665601).

Almost surely, 2164169331201 is an apocalyptic number.

It is an amenable number.

164169331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

164169331201 is an equidigital number, since it uses as much as digits as its factorization.

164169331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 164169331201 in words is "one hundred sixty-four billion, one hundred sixty-nine million, three hundred thirty-one thousand, two hundred one".