Search a number
-
+
30211001301337 is a prime number
BaseRepresentation
bin1101101111010000011000…
…00000000011100101011001
310221222010212121212110022121
412313220030000003211121
512424434112313120322
6144130424205221241
76235446530016103
oct667501400034531
9127863777773277
1030211001301337
1196984606a982a
12347b117261821
1313b1b67a2018c
1476631259a573
15375ccde97ec7
hex1b7a0c003959

30211001301337 has 2 divisors, whose sum is σ = 30211001301338. Its totient is φ = 30211001301336.

The previous prime is 30211001301323. The next prime is 30211001301347. The reversal of 30211001301337 is 73310310011203.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25263530848656 + 4947470452681 = 5026284^2 + 2224291^2 .

It is a cyclic number.

It is not a de Polignac number, because 30211001301337 - 227 = 30210867083609 is a prime.

It is not a weakly prime, because it can be changed into another prime (30211001301347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15105500650668 + 15105500650669.

It is an arithmetic number, because the mean of its divisors is an integer number (15105500650669).

Almost surely, 230211001301337 is an apocalyptic number.

It is an amenable number.

30211001301337 is a deficient number, since it is larger than the sum of its proper divisors (1).

30211001301337 is an equidigital number, since it uses as much as digits as its factorization.

30211001301337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 30211001301337 in words is "thirty trillion, two hundred eleven billion, one million, three hundred one thousand, three hundred thirty-seven".