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334113304097 is a prime number
BaseRepresentation
bin1001101110010101011…
…01000110111000100001
31011221101221010102120102
410313022231012320201
520433231001212342
6413253423352145
733065432140406
oct4671255067041
91157357112512
10334113304097
11119773282601
1254905a52655
1325678436651
14122579962ad
158a5748e832
hex4dcab46e21

334113304097 has 2 divisors, whose sum is σ = 334113304098. Its totient is φ = 334113304096.

The previous prime is 334113304087. The next prime is 334113304123. The reversal of 334113304097 is 790403311433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209360238481 + 124753065616 = 457559^2 + 353204^2 .

It is a cyclic number.

It is not a de Polignac number, because 334113304097 - 24 = 334113304081 is a prime.

It is a super-2 number, since 2×3341133040972 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334113304097.

It is not a weakly prime, because it can be changed into another prime (334113304037) 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, 167056652048 + 167056652049.

It is an arithmetic number, because the mean of its divisors is an integer number (167056652049).

Almost surely, 2334113304097 is an apocalyptic number.

It is an amenable number.

334113304097 is a deficient number, since it is larger than the sum of its proper divisors (1).

334113304097 is an equidigital number, since it uses as much as digits as its factorization.

334113304097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 334113304097 in words is "three hundred thirty-four billion, one hundred thirteen million, three hundred four thousand, ninety-seven".