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21132229973 is a prime number
BaseRepresentation
bin10011101011100101…
…000011110101010101
32000112202000111210012
4103223211003311111
5321234322324343
613412533010005
71345450663631
oct235345036525
960482014705
1021132229973
118a64658178
124119183905
131cba1315ba
141046813dc1
1583a36b718
hex4eb943d55

21132229973 has 2 divisors, whose sum is σ = 21132229974. Its totient is φ = 21132229972.

The previous prime is 21132229957. The next prime is 21132230047. The reversal of 21132229973 is 37992223112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15310845169 + 5821384804 = 123737^2 + 76298^2 .

It is a cyclic number.

It is not a de Polignac number, because 21132229973 - 24 = 21132229957 is a prime.

It is a super-2 number, since 2×211322299732 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21132229973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21132229273) 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, 10566114986 + 10566114987.

It is an arithmetic number, because the mean of its divisors is an integer number (10566114987).

Almost surely, 221132229973 is an apocalyptic number.

It is an amenable number.

21132229973 is a deficient number, since it is larger than the sum of its proper divisors (1).

21132229973 is an equidigital number, since it uses as much as digits as its factorization.

21132229973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 41.

The spelling of 21132229973 in words is "twenty-one billion, one hundred thirty-two million, two hundred twenty-nine thousand, nine hundred seventy-three".