Search a number
-
+
11211303233123 = 719259107702773
BaseRepresentation
bin1010001100100101010110…
…1111110010011001100011
31110200210022222222002200122
42203021111233302121203
52432141222111424443
635502222425110455
72234663355056630
oct243112557623143
943623288862618
1011211303233123
113632761440494
1213109aa92842b
136342b542b146
142aa8b68dd187
15146972119968
hexa3255bf2663

11211303233123 has 48 divisors (see below), whose sum is σ = 13880517384960. Its totient is φ = 8865957909312.

The previous prime is 11211303233113. The next prime is 11211303233183. The reversal of 11211303233123 is 32133230311211.

It is not a de Polignac number, because 11211303233123 - 24 = 11211303233107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211303233092 and 11211303233101.

It is not an unprimeable number, because it can be changed into a prime (11211303233113) 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 47 ways as a sum of consecutive naturals, for example, 15601565 + ... + 16304337.

It is an arithmetic number, because the mean of its divisors is an integer number (289177445520).

Almost surely, 211211303233123 is an apocalyptic number.

11211303233123 is a deficient number, since it is larger than the sum of its proper divisors (2669214151837).

11211303233123 is a wasteful number, since it uses less digits than its factorization.

11211303233123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702984 (or 702965 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11211303233123 its reverse (32133230311211), we get a palindrome (43344533544334).

The spelling of 11211303233123 in words is "eleven trillion, two hundred eleven billion, three hundred three million, two hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 7 19 59 107 133 361 413 749 1121 2033 2527 6313 7847 14231 21299 38627 44191 119947 149093 270389 702773 839629 2278993 4919411 13352687 15952951 41463607 75196711 93468809 253701053 290245249 526376977 787808533 1428737509 1775907371 4436605949 5514659731 10001162563 14968362127 27146012671 31056241643 84295513031 104778534889 190022088697 590068591217 1601614747589 11211303233123