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3022112033113 is a prime number
BaseRepresentation
bin101011111110100011111…
…010100000100101011001
3101200220121011221221110111
4223332203322200211121
5344003241140024423
610232201125044321
7431224516302655
oct53764372404531
911626534857414
103022112033113
11a65741502508
124098572566a1
1318bca3949774
14a63b18bba65
155392ab0260d
hex2bfa3ea0959

3022112033113 has 2 divisors, whose sum is σ = 3022112033114. Its totient is φ = 3022112033112.

The previous prime is 3022112033077. The next prime is 3022112033117. The reversal of 3022112033113 is 3113302112203.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2325466402704 + 696645630409 = 1524948^2 + 834653^2 .

It is an emirp because it is prime and its reverse (3113302112203) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3022112033113 is a prime.

It is a super-2 number, since 2×30221120331132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3022112033117) 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, 1511056016556 + 1511056016557.

It is an arithmetic number, because the mean of its divisors is an integer number (1511056016557).

Almost surely, 23022112033113 is an apocalyptic number.

It is an amenable number.

3022112033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3022112033113 is an equidigital number, since it uses as much as digits as its factorization.

3022112033113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3022112033113 its reverse (3113302112203), we get a palindrome (6135414145316).

The spelling of 3022112033113 in words is "three trillion, twenty-two billion, one hundred twelve million, thirty-three thousand, one hundred thirteen".