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13872123329 is a prime number
BaseRepresentation
bin11001110101101011…
…11100110111000001
31022210202211212202112
430322311330313001
5211402230421304
610212303425105
71000523050151
oct147265746701
938722755675
1013872123329
1159794a7639
1228318b5195
131400c879cc
1495850a761
15562cc3b6e
hex33ad7cdc1

13872123329 has 2 divisors, whose sum is σ = 13872123330. Its totient is φ = 13872123328.

The previous prime is 13872123299. The next prime is 13872123389. The reversal of 13872123329 is 92332127831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13701873025 + 170250304 = 117055^2 + 13048^2 .

It is a cyclic number.

It is not a de Polignac number, because 13872123329 - 228 = 13603687873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13872123389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6936061664 + 6936061665.

It is an arithmetic number, because the mean of its divisors is an integer number (6936061665).

Almost surely, 213872123329 is an apocalyptic number.

It is an amenable number.

13872123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13872123329 is an equidigital number, since it uses as much as digits as its factorization.

13872123329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108864, while the sum is 41.

The spelling of 13872123329 in words is "thirteen billion, eight hundred seventy-two million, one hundred twenty-three thousand, three hundred twenty-nine".