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1124212244101 = 192293103310289
BaseRepresentation
bin10000010111000000010…
…001010111111010000101
310222110210021200012121021
4100113000101113322011
5121404341313302401
62220242253551141
7144136012256332
oct20270021277205
93873707605537
101124212244101
113a385955a391
12161a684a54b1
1382022057a2b
143c5aad91989
151e39b4192a1
hex105c0457e85

1124212244101 has 24 divisors (see below), whose sum is σ = 1191813278040. Its totient is φ = 1060277658624.

The previous prime is 1124212244039. The next prime is 1124212244117. The reversal of 1124212244101 is 1014422124211.

It can be written as a sum of positive squares in 4 ways, for example, as 970333353025 + 153878891076 = 985055^2 + 392274^2 .

It is a de Polignac number, because none of the positive numbers 2k-1124212244101 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 (1124212244191) 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 23 ways as a sum of consecutive naturals, for example, 109258365 + ... + 109268653.

It is an arithmetic number, because the mean of its divisors is an integer number (49658886585).

Almost surely, 21124212244101 is an apocalyptic number.

It is an amenable number.

1124212244101 is a deficient number, since it is larger than the sum of its proper divisors (67601033939).

1124212244101 is a wasteful number, since it uses less digits than its factorization.

1124212244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1124212244101 its reverse (1014422124211), we get a palindrome (2138634368312).

The spelling of 1124212244101 in words is "one trillion, one hundred twenty-four billion, two hundred twelve million, two hundred forty-four thousand, one hundred one".

Divisors: 1 19 293 361 1033 5567 10289 19627 105773 195491 302669 372913 3014677 3714329 5750711 10628537 57278863 109263509 201942203 1088298397 3114161341 3836901857 59169065479 1124212244101