Search a number
-
+
301022211029 is a prime number
BaseRepresentation
bin1000110000101100101…
…00100110101111010101
31001202222202101201122212
410120112110212233111
514412443141223104
6350142050403205
730514416401411
oct4302624465725
91052882351585
10301022211029
11106732210601
124a40b890505
13225038446c7
14107d8bd1d41
157c6c2cb36e
hex4616526bd5

301022211029 has 2 divisors, whose sum is σ = 301022211030. Its totient is φ = 301022211028.

The previous prime is 301022211023. The next prime is 301022211103. The reversal of 301022211029 is 920112220103.

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., 299945714929 + 1076496100 = 547673^2 + 32810^2 .

It is an emirp because it is prime and its reverse (920112220103) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301022211029 is a prime.

It is a super-2 number, since 2×3010222110292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301022210995 and 301022211013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301022211023) 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, 150511105514 + 150511105515.

It is an arithmetic number, because the mean of its divisors is an integer number (150511105515).

Almost surely, 2301022211029 is an apocalyptic number.

It is an amenable number.

301022211029 is a deficient number, since it is larger than the sum of its proper divisors (1).

301022211029 is an equidigital number, since it uses as much as digits as its factorization.

301022211029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 301022211029 in words is "three hundred one billion, twenty-two million, two hundred eleven thousand, twenty-nine".