Search a number
-
+
73018381 is a prime number
BaseRepresentation
bin1000101101000…
…10110000001101
312002101201101111
410112202300031
5122143042011
611125012021
71544434402
oct426426015
9162351344
1073018381
1138242877
1220554011
1312187657
1499aa2a9
156625121
hex45a2c0d

73018381 has 2 divisors, whose sum is σ = 73018382. Its totient is φ = 73018380.

The previous prime is 73018369. The next prime is 73018391. The reversal of 73018381 is 18381037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72829156 + 189225 = 8534^2 + 435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73018381 is a prime.

It is a super-2 number, since 2×730183812 = 10663367927722322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73018301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36509190 + 36509191.

It is an arithmetic number, because the mean of its divisors is an integer number (36509191).

Almost surely, 273018381 is an apocalyptic number.

It is an amenable number.

73018381 is a deficient number, since it is larger than the sum of its proper divisors (1).

73018381 is an equidigital number, since it uses as much as digits as its factorization.

73018381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 73018381 is about 8545.0793442776. The cubic root of 73018381 is about 417.9689945180.

The spelling of 73018381 in words is "seventy-three million, eighteen thousand, three hundred eighty-one".