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22124233242109 is a prime number
BaseRepresentation
bin1010000011111001100110…
…00100000011010111111101
32220100001111212001221121001
411001330303010003113331
510344440412202221414
6115015422112410301
74442265060454045
oct501746304032775
986301455057531
1022124233242109
11705a91a984439
1225939a8b46991
13c463c9a79a4b
14566b66360725
1528577e7b3074
hex141f331035fd

22124233242109 has 2 divisors, whose sum is σ = 22124233242110. Its totient is φ = 22124233242108.

The previous prime is 22124233242107. The next prime is 22124233242131. The reversal of 22124233242109 is 90124233242122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12697798179609 + 9426435062500 = 3563397^2 + 3070250^2 .

It is a cyclic number.

It is not a de Polignac number, because 22124233242109 - 21 = 22124233242107 is a prime.

Together with 22124233242107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22124233242107) 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, 11062116621054 + 11062116621055.

It is an arithmetic number, because the mean of its divisors is an integer number (11062116621055).

Almost surely, 222124233242109 is an apocalyptic number.

It is an amenable number.

22124233242109 is a deficient number, since it is larger than the sum of its proper divisors (1).

22124233242109 is an equidigital number, since it uses as much as digits as its factorization.

22124233242109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 22124233242109 in words is "twenty-two trillion, one hundred twenty-four billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred nine".