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22414114401131 is a prime number
BaseRepresentation
bin1010001100010101100010…
…10100111010101101101011
32221100202202011121121001002
411012022301110322231223
510414213101241314011
6115400522455545215
74502236435611335
oct506126124725553
987322664547032
1022414114401131
117161855276742
12262000968b20b
13c678463ab98b
14576bc5646455
1528d09893bc3b
hex1462b153ab6b

22414114401131 has 2 divisors, whose sum is σ = 22414114401132. Its totient is φ = 22414114401130.

The previous prime is 22414114401127. The next prime is 22414114401143. The reversal of 22414114401131 is 13110441141422.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22414114401131 - 22 = 22414114401127 is a prime.

It is a super-2 number, since 2×224141144011312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22414114401094 and 22414114401103.

It is not a weakly prime, because it can be changed into another prime (22414114401101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11207057200565 + 11207057200566.

It is an arithmetic number, because the mean of its divisors is an integer number (11207057200566).

Almost surely, 222414114401131 is an apocalyptic number.

22414114401131 is a deficient number, since it is larger than the sum of its proper divisors (1).

22414114401131 is an equidigital number, since it uses as much as digits as its factorization.

22414114401131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 22414114401131 its reverse (13110441141422), we get a palindrome (35524555542553).

The spelling of 22414114401131 in words is "twenty-two trillion, four hundred fourteen billion, one hundred fourteen million, four hundred one thousand, one hundred thirty-one".