Search a number
-
+
11223212311003 = 7112113979291873
BaseRepresentation
bin1010001101010001101110…
…0101010100000111011011
31110201221001221222221100011
42203110123211110013123
52432340114322423003
635511512250022351
72235564443420410
oct243243345240733
943657057887304
1011223212311003
113637812840a10
1213131731179b7
136354627aa0a4
142ab2c6410107
15146e1c8ca46d
hexa351b9541db

11223212311003 has 64 divisors (see below), whose sum is σ = 14117009310720. Its totient is φ = 8668012953600.

The previous prime is 11223212310971. The next prime is 11223212311009. The reversal of 11223212311003 is 30011321232211.

11223212311003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11223212311003 - 25 = 11223212310971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11223212311009) 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, 5992103875 + ... + 5992105747.

It is an arithmetic number, because the mean of its divisors is an integer number (220578270480).

Almost surely, 211223212311003 is an apocalyptic number.

11223212311003 is a deficient number, since it is larger than the sum of its proper divisors (2893796999717).

11223212311003 is a wasteful number, since it uses less digits than its factorization.

11223212311003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11223212311003 its reverse (30011321232211), we get a palindrome (41234533543214).

The spelling of 11223212311003 in words is "eleven trillion, two hundred twenty-three billion, two hundred twelve million, three hundred eleven thousand, three".

Divisors: 1 7 11 77 211 397 929 1477 1873 2321 2779 4367 6503 10219 13111 16247 20603 30569 71533 83767 144221 196019 368813 395203 586369 743581 921437 1372133 1740017 2156209 2581691 2766421 4056943 4347233 5205067 6450059 8179391 12180119 15093463 19140187 28398601 30430631 57255737 77819543 133981309 156895591 367143587 544736801 690786749 856014973 1098269137 1725851501 2570005109 4038579457 4835507243 5992104811 7598654239 12080960507 28270056199 53190579673 145756004039 1020292028273 1603316044429 11223212311003