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329151608081 is a prime number
BaseRepresentation
bin1001100101000101111…
…01101111010100010001
31011110121010211011012022
410302202331233110101
520343100302424311
6411113221141225
732531453335352
oct4624275572421
91143533734168
10329151608081
1111765755798a
125396025a815
13250674c964a
1411d06a25d29
158866aa25db
hex4ca2f6f511

329151608081 has 2 divisors, whose sum is σ = 329151608082. Its totient is φ = 329151608080.

The previous prime is 329151608053. The next prime is 329151608089. The reversal of 329151608081 is 180806151923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317121028225 + 12030579856 = 563135^2 + 109684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-329151608081 is a prime.

It is a super-2 number, since 2×3291516080812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329151608089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164575804040 + 164575804041.

It is an arithmetic number, because the mean of its divisors is an integer number (164575804041).

Almost surely, 2329151608081 is an apocalyptic number.

It is an amenable number.

329151608081 is a deficient number, since it is larger than the sum of its proper divisors (1).

329151608081 is an equidigital number, since it uses as much as digits as its factorization.

329151608081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 329151608081 in words is "three hundred twenty-nine billion, one hundred fifty-one million, six hundred eight thousand, eighty-one".