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4113220223117 is a prime number
BaseRepresentation
bin111011110110101111000…
…001111100000010001101
3112120012221101111221222002
4323312233001330002031
51014342333334114432
612425330504202045
7603112301012135
oct73665701740215
915505841457862
104113220223117
111346452647aa5
12565205169325
1323ab4b4c4cb5
1410311c093ac5
1571edab47e62
hex3bdaf07c08d

4113220223117 has 2 divisors, whose sum is σ = 4113220223118. Its totient is φ = 4113220223116.

The previous prime is 4113220223111. The next prime is 4113220223149. The reversal of 4113220223117 is 7113220223114.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3332884733161 + 780335489956 = 1825619^2 + 883366^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113220223117 - 28 = 4113220222861 is a prime.

It is a super-2 number, since 2×41132202231172 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4113220223117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4113220223111) 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, 2056610111558 + 2056610111559.

It is an arithmetic number, because the mean of its divisors is an integer number (2056610111559).

Almost surely, 24113220223117 is an apocalyptic number.

It is an amenable number.

4113220223117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113220223117 is an equidigital number, since it uses as much as digits as its factorization.

4113220223117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 4113220223117 in words is "four trillion, one hundred thirteen billion, two hundred twenty million, two hundred twenty-three thousand, one hundred seventeen".