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21222023006929 is a prime number
BaseRepresentation
bin1001101001101001000110…
…01001001000101011010001
32210010210202021100021200111
410310310203021020223101
510240200200342210204
6113045132432121321
74320145341135133
oct464644311105321
983123667307614
1021222023006929
1168422338041a8
122468b78696241
13bac2c7417694
145352195d5053
1526c0781e6d04
hex134d23248ad1

21222023006929 has 2 divisors, whose sum is σ = 21222023006930. Its totient is φ = 21222023006928.

The previous prime is 21222023006903. The next prime is 21222023006957. The reversal of 21222023006929 is 92960032022212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12531083165329 + 8690939841600 = 3539927^2 + 2948040^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222023006929 - 215 = 21222022974161 is a prime.

It is a super-2 number, since 2×212220230069292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21222023006891 and 21222023006900.

It is not a weakly prime, because it can be changed into another prime (21222023006969) 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, 10611011503464 + 10611011503465.

It is an arithmetic number, because the mean of its divisors is an integer number (10611011503465).

Almost surely, 221222023006929 is an apocalyptic number.

It is an amenable number.

21222023006929 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222023006929 is an equidigital number, since it uses as much as digits as its factorization.

21222023006929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 21222023006929 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-three million, six thousand, nine hundred twenty-nine".