Search a number
-
+
1121100200011 = 1123311792233581
BaseRepresentation
bin10000010100000110110…
…001110111100001001011
310222011202101210222200001
4100110012301313201023
5121332003122400021
62215005404023431
7143665623316441
oct20240661674113
93864671728601
101121100200011
113a2501921620
1216133a231b77
13819473a391c
143c393940b91
151e2680e2091
hex10506c7784b

1121100200011 has 64 divisors (see below), whose sum is σ = 1331032227840. Its totient is φ = 933684048000.

The previous prime is 1121100199943. The next prime is 1121100200063. The reversal of 1121100200011 is 1100020011211.

It is not a de Polignac number, because 1121100200011 - 217 = 1121100068939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121100207011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313067241 + ... + 313070821.

It is an arithmetic number, because the mean of its divisors is an integer number (20797378560).

Almost surely, 21121100200011 is an apocalyptic number.

1121100200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121100200011 is a deficient number, since it is larger than the sum of its proper divisors (209932027829).

1121100200011 is a wasteful number, since it uses less digits than its factorization.

1121100200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121100200011 its reverse (1100020011211), we get a palindrome (2221120211222).

The spelling of 1121100200011 in words is "one trillion, one hundred twenty-one billion, one hundred million, two hundred thousand, eleven".

Divisors: 1 11 23 31 179 223 253 341 713 1969 2453 3581 4117 5129 5549 6913 7843 39391 39917 45287 56419 61039 76043 82363 111011 127627 158999 439087 640999 798563 905993 918091 1221121 1237427 1403897 1748989 2553253 7050989 8784193 10099001 13611697 14742977 18366949 19870969 24755453 28085783 28460821 142942777 162172747 202036439 218580659 272309983 313069031 457032287 569375419 1572370547 3287683871 4431226087 5027355157 6263129609 36164522581 48743486957 101918200001 1121100200011