Search a number
-
+
1032423242001 = 37321373171487
BaseRepresentation
bin11110000011000010011…
…10000111100100010001
310122200212100110202221220
433001201032013210101
5113403400322221001
62110142205035253
7134406260522244
oct17014116074421
93580770422856
101032423242001
11368937006568
12148110555b29
13764846c6538
1437d8064125b
151bcc7ea7c36
hexf061387911

1032423242001 has 48 divisors (see below), whose sum is σ = 1411250459904. Its totient is φ = 671320876032.

The previous prime is 1032423241981. The next prime is 1032423242027. The reversal of 1032423242001 is 1002423242301.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1032423242001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032423242101) 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 47 ways as a sum of consecutive naturals, for example, 694298680 + ... + 694300166.

It is an arithmetic number, because the mean of its divisors is an integer number (29401051248).

Almost surely, 21032423242001 is an apocalyptic number.

It is an amenable number.

1032423242001 is a deficient number, since it is larger than the sum of its proper divisors (378827217903).

1032423242001 is a wasteful number, since it uses less digits than its factorization.

1032423242001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1032423242001 its reverse (1002423242301), we get a palindrome (2034846484302).

The spelling of 1032423242001 in words is "one trillion, thirty-two billion, four hundred twenty-three million, two hundred forty-two thousand, one".

Divisors: 1 3 73 137 219 317 411 951 1487 4461 5329 10001 15987 23141 30003 43429 69423 108551 130287 203719 325653 471379 611157 730073 1414137 1689293 2190219 3170317 5067879 7924223 9510951 14871487 23772669 34410667 44614461 64578923 103232001 193736769 231433141 694299423 1085618551 2511978691 3256855653 4714261379 7535936073 14142784137 344141080667 1032423242001