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21873631201 is a prime number
BaseRepresentation
bin10100010111110001…
…010001111111100001
32002110102002121001221
4110113301101333201
5324244122144301
614014255455041
71403022540352
oct242761217741
962412077057
1021873631201
119305104964
1242a5527481
1320a7908256
1410b7087d29
158804bada1
hex517c51fe1

21873631201 has 2 divisors, whose sum is σ = 21873631202. Its totient is φ = 21873631200.

The previous prime is 21873631187. The next prime is 21873631207. The reversal of 21873631201 is 10213637812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21185093601 + 688537600 = 145551^2 + 26240^2 .

It is a cyclic number.

It is not a de Polignac number, because 21873631201 - 211 = 21873629153 is a prime.

It is a super-3 number, since 3×218736312013 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21873631207) 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, 10936815600 + 10936815601.

It is an arithmetic number, because the mean of its divisors is an integer number (10936815601).

Almost surely, 221873631201 is an apocalyptic number.

It is an amenable number.

21873631201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21873631201 is an equidigital number, since it uses as much as digits as its factorization.

21873631201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 21873631201 in words is "twenty-one billion, eight hundred seventy-three million, six hundred thirty-one thousand, two hundred one".