Search a number
-
+
21816379801969 is a prime number
BaseRepresentation
bin1001111010111100001011…
…00100011000000101110001
32212020121220000111211021121
410331132011210120011301
510324414421212130334
6114222150113022241
74411116141422434
oct475360544300561
985217800454247
1021816379801969
116a51302712345
1225441b1554981
13c23377ba114c
14555cc01c581b
1527c762908db4
hex13d785918171

21816379801969 has 2 divisors, whose sum is σ = 21816379801970. Its totient is φ = 21816379801968.

The previous prime is 21816379801933. The next prime is 21816379802027. The reversal of 21816379801969 is 96910897361812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20368477791025 + 1447902010944 = 4513145^2 + 1203288^2 .

It is a cyclic number.

It is not a de Polignac number, because 21816379801969 - 213 = 21816379793777 is a prime.

It is a super-2 number, since 2×218163798019692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21816379801898 and 21816379801907.

It is not a weakly prime, because it can be changed into another prime (21816379807969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10908189900984 + 10908189900985.

It is an arithmetic number, because the mean of its divisors is an integer number (10908189900985).

Almost surely, 221816379801969 is an apocalyptic number.

It is an amenable number.

21816379801969 is a deficient number, since it is larger than the sum of its proper divisors (1).

21816379801969 is an equidigital number, since it uses as much as digits as its factorization.

21816379801969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70543872, while the sum is 70.

The spelling of 21816379801969 in words is "twenty-one trillion, eight hundred sixteen billion, three hundred seventy-nine million, eight hundred one thousand, nine hundred sixty-nine".