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180198000061 is a prime number
BaseRepresentation
bin1010011111010010100…
…0110100010110111101
3122020010022022212021021
42213310220310112331
510423021142000221
6214440512304141
716006321504522
oct2476450642675
9566108285237
10180198000061
116a4700895a2
122ab0bb42051
1313cb997b451
148a1621b149
154a49cba041
hex29f4a345bd

180198000061 has 2 divisors, whose sum is σ = 180198000062. Its totient is φ = 180198000060.

The previous prime is 180198000007. The next prime is 180198000107. The reversal of 180198000061 is 160000891081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164247825625 + 15950174436 = 405275^2 + 126294^2 .

It is an emirp because it is prime and its reverse (160000891081) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 190000861081 and 180168000091.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-180198000061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 180197999990 and 180198000026.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180198000361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90099000030 + 90099000031.

It is an arithmetic number, because the mean of its divisors is an integer number (90099000031).

Almost surely, 2180198000061 is an apocalyptic number.

It is an amenable number.

180198000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

180198000061 is an equidigital number, since it uses as much as digits as its factorization.

180198000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 180198000061 in words is "one hundred eighty billion, one hundred ninety-eight million, sixty-one", and thus it is an aban number.