Search a number
-
+
34033031345237 is a prime number
BaseRepresentation
bin1111011110011111011101…
…01111100111010001010101
311110111112012110200122201012
413233033232233213101111
513430044122011021422
6200214320405342005
710111543146244361
oct757175657472125
9143445173618635
1034033031345237
11a931366a56251
1239979b5407905
1315cb3bb63a682
148592c957a2a1
153e0425a944e2
hex1ef3eebe7455

34033031345237 has 2 divisors, whose sum is σ = 34033031345238. Its totient is φ = 34033031345236.

The previous prime is 34033031345231. The next prime is 34033031345263. The reversal of 34033031345237 is 73254313033043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24257191175281 + 9775840169956 = 4925159^2 + 3126634^2 .

It is an emirp because it is prime and its reverse (73254313033043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34033031345237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34033031345194 and 34033031345203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34033031345231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17016515672618 + 17016515672619.

It is an arithmetic number, because the mean of its divisors is an integer number (17016515672619).

Almost surely, 234033031345237 is an apocalyptic number.

It is an amenable number.

34033031345237 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033031345237 is an equidigital number, since it uses as much as digits as its factorization.

34033031345237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 816480, while the sum is 41.

The spelling of 34033031345237 in words is "thirty-four trillion, thirty-three billion, thirty-one million, three hundred forty-five thousand, two hundred thirty-seven".