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1322133123233 = 13592860760257
BaseRepresentation
bin10011001111010101010…
…001100111000010100001
311200101122201201121110002
4103033111101213002201
5133130212034420413
62451213553145345
7164343456056426
oct23172521470241
94611581647402
101322133123233
1146a79375327a
121942a385b255
13978a46b9670
1447dc4c9dd4d
15245d209c958
hex133d54670a1

1322133123233 has 16 divisors (see below), whose sum is σ = 1448043125760. Its totient is φ = 1199683462656.

The previous prime is 1322133123221. The next prime is 1322133123281. The reversal of 1322133123233 is 3323213312231.

It is a cyclic number.

It is not a de Polignac number, because 1322133123233 - 218 = 1322132861089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322133123196 and 1322133123205.

It is not an unprimeable number, because it can be changed into a prime (1322133113233) 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 15 ways as a sum of consecutive naturals, for example, 21911441 + ... + 21971697.

It is an arithmetic number, because the mean of its divisors is an integer number (90502695360).

Almost surely, 21322133123233 is an apocalyptic number.

1322133123233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322133123233 is a deficient number, since it is larger than the sum of its proper divisors (125910002527).

1322133123233 is a wasteful number, since it uses less digits than its factorization.

1322133123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88936.

The product of its digits is 11664, while the sum is 29.

Adding to 1322133123233 its reverse (3323213312231), we get a palindrome (4645346435464).

The spelling of 1322133123233 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 59 767 28607 60257 371891 783341 1687813 3555163 21941569 46217119 1723771999 22409035987 101702547941 1322133123233