Search a number
-
+
102124004041 = 3172717212633
BaseRepresentation
bin101111100011100010…
…0001010001011001001
3100202121012022221001001
41133013010022023021
53133122221112131
6114525355455001
710243504466053
oct1370704121311
9322535287031
10102124004041
113a346379844
1217961157461
139826883377
144d2b1988d3
1529ca944261
hex17c710a2c9

102124004041 has 16 divisors (see below), whose sum is σ = 105664785408. Its totient is φ = 98598931200.

The previous prime is 102124004027. The next prime is 102124004051. The reversal of 102124004041 is 140400421201.

It is a cyclic number.

It is not a de Polignac number, because 102124004041 - 215 = 102123971273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102124004011) 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 15 ways as a sum of consecutive naturals, for example, 38784861 + ... + 38787493.

It is an arithmetic number, because the mean of its divisors is an integer number (6604049088).

Almost surely, 2102124004041 is an apocalyptic number.

It is an amenable number.

102124004041 is a deficient number, since it is larger than the sum of its proper divisors (3540781367).

102124004041 is a wasteful number, since it uses less digits than its factorization.

102124004041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102124004041 its reverse (140400421201), we get a palindrome (242524425242).

The spelling of 102124004041 in words is "one hundred two billion, one hundred twenty-four million, four thousand, forty-one".

Divisors: 1 31 727 1721 2633 22537 53351 81623 1251167 1914191 4531393 38786177 59339921 140473183 3294322711 102124004041