Search a number
-
+
22313002093 is a prime number
BaseRepresentation
bin10100110001111101…
…010110010001101101
32010121000211221121221
4110301331112101231
5331144112031333
614130033023341
71416636250144
oct246175262155
963530757557
1022313002093
1195101207a8
1243a86b4b51
132147952c25
14111957a75b
158a8d59d2d
hex531f5646d

22313002093 has 2 divisors, whose sum is σ = 22313002094. Its totient is φ = 22313002092.

The previous prime is 22313002087. The next prime is 22313002109. The reversal of 22313002093 is 39020031322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22312293129 + 708964 = 149373^2 + 842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22313002093 is a prime.

It is a super-3 number, since 3×223130020933 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22313002043) 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, 11156501046 + 11156501047.

It is an arithmetic number, because the mean of its divisors is an integer number (11156501047).

Almost surely, 222313002093 is an apocalyptic number.

It is an amenable number.

22313002093 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313002093 is an equidigital number, since it uses as much as digits as its factorization.

22313002093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 22313002093 in words is "twenty-two billion, three hundred thirteen million, two thousand, ninety-three".