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34922232111101 is a prime number
BaseRepresentation
bin1111111000010111101110…
…01111010101111111111101
311120122112101101210210200212
413330023313033111333331
514034131212410023401
6202135015120002205
710233022316116316
oct774136717257775
9146575341723625
1034922232111101
1110144487673655
123b001b4a60365
1316641c9963bba
1488a3605d360d
15408619e8cdbb
hex1fc2f73d5ffd

34922232111101 has 2 divisors, whose sum is σ = 34922232111102. Its totient is φ = 34922232111100.

The previous prime is 34922232111071. The next prime is 34922232111211. The reversal of 34922232111101 is 10111123222943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24126506191876 + 10795725919225 = 4911874^2 + 3285685^2 .

It is an emirp because it is prime and its reverse (10111123222943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34922232111101 - 218 = 34922231848957 is a prime.

It is a super-2 number, since 2×349222321111012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34922232111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17461116055550 + 17461116055551.

It is an arithmetic number, because the mean of its divisors is an integer number (17461116055551).

Almost surely, 234922232111101 is an apocalyptic number.

It is an amenable number.

34922232111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34922232111101 is an equidigital number, since it uses as much as digits as its factorization.

34922232111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 34922232111101 in words is "thirty-four trillion, nine hundred twenty-two billion, two hundred thirty-two million, one hundred eleven thousand, one hundred one".