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1322342210133 = 327223130369931
BaseRepresentation
bin10011001111100001101…
…111001101101001010101
311200102012022011022202100
4103033201233031221111
5133131124101211013
62451250422432313
7164351605221300
oct23174157155125
94612168138670
101322342210133
1146a89078236a
12194341892699
1397908b05a19
1448004969b37
15245e55ee473
hex133e1bcda55

1322342210133 has 36 divisors (see below), whose sum is σ = 2318498870688. Its totient is φ = 722770891920.

The previous prime is 1322342210129. The next prime is 1322342210173. The reversal of 1322342210133 is 3310122432231.

1322342210133 is a `hidden beast` number, since 1 + 3 + 223 + 422 + 1 + 0 + 13 + 3 = 666.

It is not a de Polignac number, because 1322342210133 - 22 = 1322342210129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1322342210097 and 1322342210106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322342210173) 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 35 ways as a sum of consecutive naturals, for example, 65174823 + ... + 65195108.

It is an arithmetic number, because the mean of its divisors is an integer number (64402746408).

Almost surely, 21322342210133 is an apocalyptic number.

It is an amenable number.

1322342210133 is a deficient number, since it is larger than the sum of its proper divisors (996156660555).

1322342210133 is a wasteful number, since it uses less digits than its factorization.

1322342210133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130369974 (or 130369964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1322342210133 its reverse (3310122432231), we get a palindrome (4632464642364).

The spelling of 1322342210133 in words is "one trillion, three hundred twenty-two billion, three hundred forty-two million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 130369931 391109793 912589517 1173329379 2737768551 2998508413 6388126619 8213305653 8995525239 19164379857 20989558891 26986575717 57493139571 62968676673 146926912237 188906030019 440780736711 1322342210133