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1022013333041 is a prime number
BaseRepresentation
bin11101101111101001011…
…11011101111000110001
310121200222212101121110012
432313310233131320301
5113221040403124131
62101301220344305
7133560304665401
oct16676457357061
93550885347405
101022013333041
11364484978918
121460a6245095
13754b5b084ac
1437673c98801
151b8b912a52b
hexedf4bdde31

1022013333041 has 2 divisors, whose sum is σ = 1022013333042. Its totient is φ = 1022013333040.

The previous prime is 1022013333031. The next prime is 1022013333179. The reversal of 1022013333041 is 1403333102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1015771701025 + 6241632016 = 1007855^2 + 79004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022013333041 - 234 = 1004833463857 is a prime.

It is a super-2 number, since 2×10220133330412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022013332998 and 1022013333016.

It is not a weakly prime, because it can be changed into another prime (1022013333031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511006666520 + 511006666521.

It is an arithmetic number, because the mean of its divisors is an integer number (511006666521).

Almost surely, 21022013333041 is an apocalyptic number.

It is an amenable number.

1022013333041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022013333041 is an equidigital number, since it uses as much as digits as its factorization.

1022013333041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1022013333041 its reverse (1403333102201), we get a palindrome (2425346435242).

The spelling of 1022013333041 in words is "one trillion, twenty-two billion, thirteen million, three hundred thirty-three thousand, forty-one".