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338101222001 is a prime number
BaseRepresentation
bin1001110101110000110…
…01110011101001110001
31012022200212002122111112
410322320121303221301
521014412403101001
6415153242323105
733266314653254
oct4727031635161
91168625078445
10338101222001
1112042a364324
12556394b9495
1325b626b789a
141251548309b
158bdc629cbb
hex4eb8673a71

338101222001 has 2 divisors, whose sum is σ = 338101222002. Its totient is φ = 338101222000.

The previous prime is 338101221989. The next prime is 338101222049. The reversal of 338101222001 is 100222101833.

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., 290306517601 + 47794704400 = 538801^2 + 218620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-338101222001 is a prime.

It is a super-2 number, since 2×3381012220012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338101222061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169050611000 + 169050611001.

It is an arithmetic number, because the mean of its divisors is an integer number (169050611001).

Almost surely, 2338101222001 is an apocalyptic number.

It is an amenable number.

338101222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

338101222001 is an equidigital number, since it uses as much as digits as its factorization.

338101222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 338101222001 its reverse (100222101833), we get a palindrome (438323323834).

The spelling of 338101222001 in words is "three hundred thirty-eight billion, one hundred one million, two hundred twenty-two thousand, one".