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1322212331133 = 33173777855051
BaseRepresentation
bin10011001111011001111…
…111110000111001111101
311200101212020202210021000
4103033121333300321331
5133130342324044013
62451225503000513
7164345440243311
oct23173177607175
94611766683230
101322212331133
1146a824433351
12194306299139
13978b7c30345
1447dd15dbb41
15245d8ee6973
hex133d9ff0e7d

1322212331133 has 32 divisors (see below), whose sum is σ = 2130114222720. Its totient is φ = 807201158400.

The previous prime is 1322212331123. The next prime is 1322212331137. The reversal of 1322212331133 is 3311332122231.

1322212331133 is a `hidden beast` number, since 1 + 3 + 222 + 123 + 311 + 3 + 3 = 666.

It is not a de Polignac number, because 1322212331133 - 213 = 1322212322941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1322212331097 and 1322212331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322212331137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38910543 + ... + 38944508.

It is an arithmetic number, because the mean of its divisors is an integer number (66566069460).

Almost surely, 21322212331133 is an apocalyptic number.

It is an amenable number.

1322212331133 is a deficient number, since it is larger than the sum of its proper divisors (807901891587).

1322212331133 is a wasteful number, since it uses less digits than its factorization.

1322212331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77855114 (or 77855108 counting only the distinct ones).

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

Adding to 1322212331133 its reverse (3311332122231), we get a palindrome (4633544453364).

The spelling of 1322212331133 in words is "one trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 5661 16983 77855051 233565153 700695459 1323535867 2102086377 2880636887 3970607601 8641910661 11911822803 25925731983 35735468409 48970827079 77777195949 146912481237 440737443711 1322212331133