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21022131220229 is a prime number
BaseRepresentation
bin1001100011110100110001…
…01010011110111100000101
32202102200210110200101221002
410301322120222132330011
510223411311043021404
6112413233405303045
74266541003031606
oct461723052367405
982380713611832
1021022131220229
116775488034287
122436291264a85
13b964bc656559
14529695a41dad
15266c794eac1e
hex131e98a9ef05

21022131220229 has 2 divisors, whose sum is σ = 21022131220230. Its totient is φ = 21022131220228.

The previous prime is 21022131220127. The next prime is 21022131220291. The reversal of 21022131220229 is 92202213122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19003452897025 + 2018678323204 = 4359295^2 + 1420802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21022131220229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21022131250229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10511065610114 + 10511065610115.

It is an arithmetic number, because the mean of its divisors is an integer number (10511065610115).

Almost surely, 221022131220229 is an apocalyptic number.

It is an amenable number.

21022131220229 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022131220229 is an equidigital number, since it uses as much as digits as its factorization.

21022131220229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 21022131220229 in words is "twenty-one trillion, twenty-two billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty-nine".