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21131034193 is a prime number
BaseRepresentation
bin10011101011100000…
…011111111001010001
32000112122202202111001
4103223200133321101
5321234021043233
613412451222001
71345434553453
oct235340377121
960478682431
1021131034193
118a63a10825
1241188a7901
131cb9b03239
1410465c22d3
1583a1d227d
hex4eb81fe51

21131034193 has 2 divisors, whose sum is σ = 21131034194. Its totient is φ = 21131034192.

The previous prime is 21131034181. The next prime is 21131034229. The reversal of 21131034193 is 39143013112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11212268544 + 9918765649 = 105888^2 + 99593^2 .

It is a cyclic number.

It is not a de Polignac number, because 21131034193 - 225 = 21097479761 is a prime.

It is a super-2 number, since 2×211310341932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21131034103) 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, 10565517096 + 10565517097.

It is an arithmetic number, because the mean of its divisors is an integer number (10565517097).

Almost surely, 221131034193 is an apocalyptic number.

It is an amenable number.

21131034193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21131034193 is an equidigital number, since it uses as much as digits as its factorization.

21131034193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 21131034193 in words is "twenty-one billion, one hundred thirty-one million, thirty-four thousand, one hundred ninety-three".