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73145912113 is a prime number
BaseRepresentation
bin100010000011111010…
…1100000101100110001
320222210122221100000001
41010013311200230301
52144300323141423
653334110430001
75166423665041
oct1040765405461
9228718840001
1073145912113
1129025a6243a
1212214502301
136b89129201
14377c761721
151d818c7cad
hex1107d60b31

73145912113 has 2 divisors, whose sum is σ = 73145912114. Its totient is φ = 73145912112.

The previous prime is 73145912111. The next prime is 73145912129. The reversal of 73145912113 is 31121954137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45259584049 + 27886328064 = 212743^2 + 166992^2 .

It is an emirp because it is prime and its reverse (31121954137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73145912113 - 21 = 73145912111 is a prime.

Together with 73145912111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73145912111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36572956056 + 36572956057.

It is an arithmetic number, because the mean of its divisors is an integer number (36572956057).

Almost surely, 273145912113 is an apocalyptic number.

It is an amenable number.

73145912113 is a deficient number, since it is larger than the sum of its proper divisors (1).

73145912113 is an equidigital number, since it uses as much as digits as its factorization.

73145912113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 37.

The spelling of 73145912113 in words is "seventy-three billion, one hundred forty-five million, nine hundred twelve thousand, one hundred thirteen".