Search a number
-
+
1121101000033 = 7171992772617
BaseRepresentation
bin10000010100000110110…
…100111010110101100001
310222011202110022122002111
4100110012310322311201
5121332003324000113
62215005433115321
7143665633161040
oct20240664726541
93864673278074
101121101000033
113a25023186a3
1216133a558b41
13819475c3b01
143c393aac557
151e2681ee13d
hex10506d3ad61

1121101000033 has 48 divisors (see below), whose sum is σ = 1370601388800. Its totient is φ = 895170963456.

The previous prime is 1121101000027. The next prime is 1121101000081. The reversal of 1121101000033 is 3300001011211.

It is not a de Polignac number, because 1121101000033 - 221 = 1121098902881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121100999977 and 1121101000022.

It is not an unprimeable number, because it can be changed into a prime (1121101000433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817019141 + ... + 1817019757.

It is an arithmetic number, because the mean of its divisors is an integer number (28554195600).

Almost surely, 21121101000033 is an apocalyptic number.

It is an amenable number.

1121101000033 is a deficient number, since it is larger than the sum of its proper divisors (249500388767).

1121101000033 is an equidigital number, since it uses as much as digits as its factorization.

1121101000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1121101000033 its reverse (3300001011211), we get a palindrome (4421102011244).

The spelling of 1121101000033 in words is "one trillion, one hundred twenty-one billion, one hundred one million, thirty-three", and thus it is an aban number.

Divisors: 1 7 17 119 199 277 617 1393 1939 3383 4319 4709 10489 23681 32963 55123 73423 76729 122783 170909 385861 537103 859481 937091 1196363 1304393 2087311 2905453 6559637 9130751 14611177 15269071 20338171 34010891 47341793 106883497 238076237 259574207 331392551 578185147 804810481 1817019449 4047296029 5633673367 9421016807 65947117649 160157285719 1121101000033