Search a number
-
+
1004522410541 = 132101278921101
BaseRepresentation
bin11101001111000100011…
…00111001001000101101
310120000211220010200110202
432213202030321020231
5112424230214114131
62045245441243245
7132401000415266
oct16474214711055
93500756120422
101004522410541
11358019792971
12142824633525
13739591baa00
1436894d0796d
151b1e37cebcb
hexe9e233922d

1004522410541 has 24 divisors (see below), whose sum is σ = 1098952910280. Its totient is φ = 917698080000.

The previous prime is 1004522410481. The next prime is 1004522410547. The reversal of 1004522410541 is 1450142254001.

It is a happy number.

1004522410541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 289905788041 + 714616622500 = 538429^2 + 845350^2 .

It is not a de Polignac number, because 1004522410541 - 238 = 729644503597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004522410547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47594891 + ... + 47615991.

It is an arithmetic number, because the mean of its divisors is an integer number (45789704595).

Almost surely, 21004522410541 is an apocalyptic number.

It is an amenable number.

1004522410541 is a deficient number, since it is larger than the sum of its proper divisors (94430499739).

1004522410541 is a wasteful number, since it uses less digits than its factorization.

1004522410541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24017 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 1004522410541 its reverse (1450142254001), we get a palindrome (2454664664542).

The spelling of 1004522410541 in words is "one trillion, four billion, five hundred twenty-two million, four hundred ten thousand, five hundred forty-one".

Divisors: 1 13 101 169 1313 2789 17069 21101 36257 274313 281689 471341 2131201 3566069 3661957 27705613 47605441 58850689 360172969 765058957 5943919589 9945766441 77270954657 1004522410541