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1311222323133 = 321230911183607
BaseRepresentation
bin10011000101001010111…
…100001101011110111101
311122100111100010112110200
4103011022330031132331
5132440340403320013
62442211152554113
7163506211564542
oct23051274153675
94570440115420
101311222323133
114660a48aa708
12192159852939
13968560c3a28
144766bbacbc9
152419427ce73
hex1314af0d7bd

1311222323133 has 12 divisors (see below), whose sum is σ = 1894004787168. Its totient is φ = 874140375240.

The previous prime is 1311222323107. The next prime is 1311222323167. The reversal of 1311222323133 is 3313232221131.

1311222323133 is a `hidden beast` number, since 1 + 3 + 112 + 2 + 232 + 313 + 3 = 666.

It is not a de Polignac number, because 1311222323133 - 221 = 1311220225981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311222323097 and 1311222323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311222323533) 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 11 ways as a sum of consecutive naturals, for example, 516016 + ... + 1699622.

It is an arithmetic number, because the mean of its divisors is an integer number (157833732264).

Almost surely, 21311222323133 is an apocalyptic number.

It is an amenable number.

1311222323133 is a deficient number, since it is larger than the sum of its proper divisors (582782464035).

1311222323133 is a wasteful number, since it uses less digits than its factorization.

1311222323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306704 (or 1306701 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1311222323133 its reverse (3313232221131), we get a palindrome (4624454544264).

The spelling of 1311222323133 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 123091 369273 1107819 1183607 3550821 10652463 145691369237 437074107711 1311222323133