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22100010301 is a prime number
BaseRepresentation
bin10100100101010000…
…110110010100111101
32010001012001211211001
4110211100312110331
5330230100312201
614052543530301
71411441662625
oct244520662475
963035054731
1022100010301
119410974926
1243492b9991
13211279a395
1410d9175885
158952d6301
hex52543653d

22100010301 has 2 divisors, whose sum is σ = 22100010302. Its totient is φ = 22100010300.

The previous prime is 22100010293. The next prime is 22100010307. The reversal of 22100010301 is 10301000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22047795225 + 52215076 = 148485^2 + 7226^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100010301 - 23 = 22100010293 is a prime.

It is a super-2 number, since 2×221000103012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100010307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050005150 + 11050005151.

It is an arithmetic number, because the mean of its divisors is an integer number (11050005151).

Almost surely, 222100010301 is an apocalyptic number.

It is an amenable number.

22100010301 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100010301 is an equidigital number, since it uses as much as digits as its factorization.

22100010301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 22100010301 its reverse (10301000122), we get a palindrome (32401010423).

The spelling of 22100010301 in words is "twenty-two billion, one hundred million, ten thousand, three hundred one".