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22003142440129 is a prime number
BaseRepresentation
bin1010000000011000000010…
…11111010011010011000001
32212220110221211100212002021
411000030001133103103001
510340444413431041004
6114444034252321441
74430450244564664
oct500140137232301
985813854325067
1022003142440129
117013531317684
122574433a73281
13c37b6c8b2526
14560d5a1d16db
15282543b91d54
hex1403017d34c1

22003142440129 has 2 divisors, whose sum is σ = 22003142440130. Its totient is φ = 22003142440128.

The previous prime is 22003142440127. The next prime is 22003142440141. The reversal of 22003142440129 is 92104424130022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15402893321104 + 6600249119025 = 3924652^2 + 2569095^2 .

It is a cyclic number.

It is not a de Polignac number, because 22003142440129 - 21 = 22003142440127 is a prime.

Together with 22003142440127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22003142440094 and 22003142440103.

It is not a weakly prime, because it can be changed into another prime (22003142440127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001571220064 + 11001571220065.

It is an arithmetic number, because the mean of its divisors is an integer number (11001571220065).

Almost surely, 222003142440129 is an apocalyptic number.

It is an amenable number.

22003142440129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22003142440129 is an equidigital number, since it uses as much as digits as its factorization.

22003142440129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 22003142440129 in words is "twenty-two trillion, three billion, one hundred forty-two million, four hundred forty thousand, one hundred twenty-nine".