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1024212013241 = 29349300133721
BaseRepresentation
bin11101110011101111100…
…10110001000010111001
310121220200002121010200012
432321313302301002321
5113240041233410431
62102303321551305
7133665633316634
oct16716762610271
93556602533605
101024212013241
11365402a8689a
121465ba645535
13757764971b1
1437801cb0c1b
151b99718622b
hexee77cb10b9

1024212013241 has 16 divisors (see below), whose sum is σ = 1062951162000. Its totient is φ = 985703040000.

The previous prime is 1024212013141. The next prime is 1024212013243. The reversal of 1024212013241 is 1423102124201.

It can be written as a sum of positive squares in 8 ways, for example, as 28150128400 + 996061884841 = 167780^2 + 998029^2 .

It is a de Polignac number, because none of the positive numbers 2k-1024212013241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1024212013243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30356261 + ... + 30389981.

It is an arithmetic number, because the mean of its divisors is an integer number (66434447625).

Almost surely, 21024212013241 is an apocalyptic number.

It is an amenable number.

1024212013241 is a deficient number, since it is larger than the sum of its proper divisors (38739148759).

1024212013241 is a wasteful number, since it uses less digits than its factorization.

1024212013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37100.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1024212013241 its reverse (1423102124201), we get a palindrome (2447314137442).

The spelling of 1024212013241 in words is "one trillion, twenty-four billion, two hundred twelve million, thirteen thousand, two hundred forty-one".

Divisors: 1 29 349 3001 10121 33721 87029 977909 1047349 11768629 30373121 101196721 341290241 2934704909 35317655629 1024212013241