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102733711441 = 3205212
BaseRepresentation
bin101111110101101101…
…0000000100001010001
3100211011200121021100121
41133223122000201101
53140344312231231
6115110055550241
710264560065464
oct1375332004121
9324150537317
10102733711441
113a629557a59
1217ab138b381
1398c2c9a58a
144d8814b2db
152a1422d311
hex17eb680851

102733711441 has 3 divisors (see below), whose sum is σ = 102734031963. Its totient is φ = 102733390920.

The previous prime is 102733711403. The next prime is 102733711477. The reversal of 102733711441 is 144117337201.

The square root of 102733711441 is 320521.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 101078849041 + 1654862400 = 317929^2 + 40680^2 .

It is not a de Polignac number, because 102733711441 - 213 = 102733703249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102733711397 and 102733711406.

It is not an unprimeable number, because it can be changed into a prime (102733712441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 160261 + ... + 480781.

It is an arithmetic number, because the mean of its divisors is an integer number (34244677321).

Almost surely, 2102733711441 is an apocalyptic number.

102733711441 is the 320521-st square number.

102733711441 is the 160261-st centered octagonal number.

It is an amenable number.

102733711441 is a deficient number, since it is larger than the sum of its proper divisors (320522).

102733711441 is an frugal number, since it uses more digits than its factorization.

102733711441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641042 (or 320521 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 102733711441 in words is "one hundred two billion, seven hundred thirty-three million, seven hundred eleven thousand, four hundred forty-one".

Divisors: 1 320521 102733711441