Search a number
-
+
10022310331973 is a prime number
BaseRepresentation
bin1001000111011000000000…
…1111110100011001000101
31022111010100001001112201222
42101312000033310121011
52303201142421110343
633152104044530125
72053042123134032
oct221660017643105
938433301045658
1010022310331973
11321448a9a0705
12115a483550945
1357913b384ca4
142691221b2389
15125a83921a68
hex91d803f4645

10022310331973 has 2 divisors, whose sum is σ = 10022310331974. Its totient is φ = 10022310331972.

The previous prime is 10022310331939. The next prime is 10022310332017. The reversal of 10022310331973 is 37913301322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8513778594244 + 1508531737729 = 2917838^2 + 1228223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022310331973 - 212 = 10022310327877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022310331373) 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, 5011155165986 + 5011155165987.

It is an arithmetic number, because the mean of its divisors is an integer number (5011155165987).

Almost surely, 210022310331973 is an apocalyptic number.

It is an amenable number.

10022310331973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022310331973 is an equidigital number, since it uses as much as digits as its factorization.

10022310331973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

Adding to 10022310331973 its reverse (37913301322001), we get a palindrome (47935611653974).

The spelling of 10022310331973 in words is "ten trillion, twenty-two billion, three hundred ten million, three hundred thirty-one thousand, nine hundred seventy-three".