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22003301010113 is a prime number
BaseRepresentation
bin1010000000011000010101…
…11100001100101011000001
32212220111100212202001012122
411000030022330030223001
510341000230024310423
6114444102115134025
74430454211450103
oct500141274145301
985814325661178
1022003301010113
117013602882655
122574478ba4315
13c37b966c2117
14560d732ab573
15282552a658c8
hex14030af0cac1

22003301010113 has 2 divisors, whose sum is σ = 22003301010114. Its totient is φ = 22003301010112.

The previous prime is 22003301010049. The next prime is 22003301010133. The reversal of 22003301010113 is 31101010330022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18634270128049 + 3369030882064 = 4316743^2 + 1835492^2 .

It is a cyclic number.

It is not a de Polignac number, because 22003301010113 - 26 = 22003301010049 is a prime.

It is a super-2 number, since 2×220033010101132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22003301010091 and 22003301010100.

It is not a weakly prime, because it can be changed into another prime (22003301010133) 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, 11001650505056 + 11001650505057.

It is an arithmetic number, because the mean of its divisors is an integer number (11001650505057).

Almost surely, 222003301010113 is an apocalyptic number.

It is an amenable number.

22003301010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22003301010113 is an equidigital number, since it uses as much as digits as its factorization.

22003301010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22003301010113 its reverse (31101010330022), we get a palindrome (53104311340135).

The spelling of 22003301010113 in words is "twenty-two trillion, three billion, three hundred one million, ten thousand, one hundred thirteen".