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1223131220311 = 721113179975187
BaseRepresentation
bin10001110011001000010…
…011010100100101010111
311022221010010011211222211
4101303020103110211113
5130014433043022221
62333522042534251
7154240221555100
oct21631023244527
94287103154884
101223131220311
114317aa7612a0
12179074207387
138b4578cbc10
14432b26133a7
1521c3a7ba6e1
hex11cc84d4957

1223131220311 has 48 divisors (see below), whose sum is σ = 1680912051840. Its totient is φ = 874858864320.

The previous prime is 1223131220303. The next prime is 1223131220323. The reversal of 1223131220311 is 1130221313221.

It is not a de Polignac number, because 1223131220311 - 23 = 1223131220303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223131220351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766660 + ... + 1741846.

It is an arithmetic number, because the mean of its divisors is an integer number (35019001080).

Almost surely, 21223131220311 is an apocalyptic number.

1223131220311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1223131220311 is a deficient number, since it is larger than the sum of its proper divisors (457780831529).

1223131220311 is a wasteful number, since it uses less digits than its factorization.

1223131220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975404 (or 975397 counting only the distinct ones).

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

Adding to 1223131220311 its reverse (1130221313221), we get a palindrome (2353352533532).

The spelling of 1223131220311 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, two hundred twenty thousand, three hundred eleven".

Divisors: 1 7 11 13 49 77 91 143 179 539 637 1001 1253 1969 2327 7007 8771 13783 16289 25597 96481 114023 179179 975187 1254253 6826309 10727057 12677431 47784163 75089399 88742017 139451741 174558473 525625793 621194119 976162187 1221909311 1920143203 2269260149 6833135309 8553365177 13441002421 15884821043 24961861639 94087016947 111193747301 174733031473 1223131220311