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338101222049 is a prime number
BaseRepresentation
bin1001110101110000110…
…01110011101010100001
31012022200212002122120022
410322320121303222201
521014412403101144
6415153242323225
733266314653353
oct4727031635241
91168625078508
10338101222049
1112042a364368
12556394b9515
1325b626b7906
14125154830d3
158bdc629cee
hex4eb8673aa1

338101222049 has 2 divisors, whose sum is σ = 338101222050. Its totient is φ = 338101222048.

The previous prime is 338101222001. The next prime is 338101222061. The reversal of 338101222049 is 940222101833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337727186449 + 374035600 = 581143^2 + 19340^2 .

It is a cyclic number.

It is not a de Polignac number, because 338101222049 - 212 = 338101217953 is a prime.

It is a super-2 number, since 2×3381012220492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338101282049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169050611024 + 169050611025.

It is an arithmetic number, because the mean of its divisors is an integer number (169050611025).

Almost surely, 2338101222049 is an apocalyptic number.

It is an amenable number.

338101222049 is a deficient number, since it is larger than the sum of its proper divisors (1).

338101222049 is an equidigital number, since it uses as much as digits as its factorization.

338101222049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 338101222049 in words is "three hundred thirty-eight billion, one hundred one million, two hundred twenty-two thousand, forty-nine".