Search a number
-
+
21146542000319 is a prime number
BaseRepresentation
bin1001100111011100100000…
…00111111100100010111111
32202212120220212111212020002
410303232100013330202333
510232431104223002234
6112550330504144515
74311534011151311
oct463562007744277
982776825455202
1021146542000319
11681321a7407aa
12245641216813b
13ba51585a9568
145316d8aab7b1
1526a10b81927e
hex133b901fc8bf

21146542000319 has 2 divisors, whose sum is σ = 21146542000320. Its totient is φ = 21146542000318.

The previous prime is 21146542000303. The next prime is 21146542000351. The reversal of 21146542000319 is 91300024564112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21146542000319 - 24 = 21146542000303 is a prime.

It is a super-3 number, since 3×211465420003193 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21146542009319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10573271000159 + 10573271000160.

It is an arithmetic number, because the mean of its divisors is an integer number (10573271000160).

Almost surely, 221146542000319 is an apocalyptic number.

21146542000319 is a deficient number, since it is larger than the sum of its proper divisors (1).

21146542000319 is an equidigital number, since it uses as much as digits as its factorization.

21146542000319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 21146542000319 in words is "twenty-one trillion, one hundred forty-six billion, five hundred forty-two million, three hundred nineteen", and thus it is an aban number.