Search a number
-
+
102771567581 is a prime number
BaseRepresentation
bin101111110110110101…
…0011010101111011101
3100211021022211120012212
41133231222122233131
53140434010130311
6115113531210205
710265526624314
oct1375552325735
9324238746185
10102771567581
113a648963921
1217b01ba6965
1398caa93367
144d8d1a327b
152a17709c8b
hex17eda9abdd

102771567581 has 2 divisors, whose sum is σ = 102771567582. Its totient is φ = 102771567580.

The previous prime is 102771567571. The next prime is 102771567583. The reversal of 102771567581 is 185765177201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66496936900 + 36274630681 = 257870^2 + 190459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102771567581 is a prime.

It is a super-2 number, since 2×1027715675812 (a number of 23 digits) contains 22 as substring.

Together with 102771567583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102771567583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51385783790 + 51385783791.

It is an arithmetic number, because the mean of its divisors is an integer number (51385783791).

Almost surely, 2102771567581 is an apocalyptic number.

It is an amenable number.

102771567581 is a deficient number, since it is larger than the sum of its proper divisors (1).

102771567581 is an equidigital number, since it uses as much as digits as its factorization.

102771567581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 823200, while the sum is 50.

The spelling of 102771567581 in words is "one hundred two billion, seven hundred seventy-one million, five hundred sixty-seven thousand, five hundred eighty-one".