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146118966101 is a prime number
BaseRepresentation
bin1000100000010101011…
…1100111101101010101
3111222011021121120020022
42020011113213231111
54343222423403401
6151043124314525
713361651501423
oct2100527475525
9458137546208
10146118966101
1156a7238aa19
122439ab42a45
1310a184b21b4
147102168113
153c0300871b
hex22055e7b55

146118966101 has 2 divisors, whose sum is σ = 146118966102. Its totient is φ = 146118966100.

The previous prime is 146118966079. The next prime is 146118966127. The reversal of 146118966101 is 101669811641.

146118966101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145827751876 + 291214225 = 381874^2 + 17065^2 .

It is an emirp because it is prime and its reverse (101669811641) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146118966101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146118966001) 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, 73059483050 + 73059483051.

It is an arithmetic number, because the mean of its divisors is an integer number (73059483051).

Almost surely, 2146118966101 is an apocalyptic number.

It is an amenable number.

146118966101 is a deficient number, since it is larger than the sum of its proper divisors (1).

146118966101 is an equidigital number, since it uses as much as digits as its factorization.

146118966101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 146118966101 in words is "one hundred forty-six billion, one hundred eighteen million, nine hundred sixty-six thousand, one hundred one".