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2230100021 is a prime number
BaseRepresentation
bin1000010011101100…
…1010000000110101
312202102022211010002
42010323022000311
514031401200041
61005142441045
7106156352222
oct20473120065
95672284102
102230100021
11a44919176
12522a33185
13297040016
14172274949
15d0bb559b
hex84eca035

2230100021 has 2 divisors, whose sum is σ = 2230100022. Its totient is φ = 2230100020.

The previous prime is 2230100017. The next prime is 2230100023. The reversal of 2230100021 is 1200010322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2150640625 + 79459396 = 46375^2 + 8914^2 .

It is a cyclic number.

It is not a de Polignac number, because 2230100021 - 22 = 2230100017 is a prime.

It is a super-2 number, since 2×22301000212 = 9946692207328400882, which contains 22 as substring.

Together with 2230100023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2230099975 and 2230100011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2230100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115050010 + 1115050011.

It is an arithmetic number, because the mean of its divisors is an integer number (1115050011).

Almost surely, 22230100021 is an apocalyptic number.

It is an amenable number.

2230100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2230100021 is an equidigital number, since it uses as much as digits as its factorization.

2230100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2230100021 is about 47223.9348318202. The cubic root of 2230100021 is about 1306.4960887790.

Adding to 2230100021 its reverse (1200010322), we get a palindrome (3430110343).

The spelling of 2230100021 in words is "two billion, two hundred thirty million, one hundred thousand, twenty-one".