Search a number
-
+
310233033221117 is a prime number
BaseRepresentation
bin100011010001001111100000…
…1101111100010001111111101
31111200102222200111022000200212
41012202133001233202033331
5311130324223001033432
63015451031000002205
7122226411524625446
oct10642370157421775
91450388614260625
10310233033221117
118a9390aa549686
122a9652a7160365
1310414b0748ac96
145687504c642cd
1525ced16ca72b2
hex11a27c1be23fd

310233033221117 has 2 divisors, whose sum is σ = 310233033221118. Its totient is φ = 310233033221116.

The previous prime is 310233033221101. The next prime is 310233033221119. The reversal of 310233033221117 is 711122330332013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241988482648441 + 68244550572676 = 15555979^2 + 8261026^2 .

It is an emirp because it is prime and its reverse (711122330332013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310233033221117 - 24 = 310233033221101 is a prime.

It is a super-2 number, since 2×3102330332211172 (a number of 30 digits) contains 22 as substring.

Together with 310233033221119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310233033221119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155116516610558 + 155116516610559.

It is an arithmetic number, because the mean of its divisors is an integer number (155116516610559).

Almost surely, 2310233033221117 is an apocalyptic number.

It is an amenable number.

310233033221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

310233033221117 is an equidigital number, since it uses as much as digits as its factorization.

310233033221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

The spelling of 310233033221117 in words is "three hundred ten trillion, two hundred thirty-three billion, thirty-three million, two hundred twenty-one thousand, one hundred seventeen".