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1322132131431 = 321031306146549
BaseRepresentation
bin10011001111010101001…
…101110100111001100111
311200101122122212012221200
4103033111031310321213
5133130211311201211
62451213520013543
7164343444456036
oct23172515647147
94611578765850
101322132131431
1146a793136101
121942a34612b3
13978a44300b7
1447dc4ac271d
15245d1e53b56
hex133d5374e67

1322132131431 has 24 divisors (see below), whose sum is σ = 1912264317600. Its totient is φ = 880259918400.

The previous prime is 1322132131357. The next prime is 1322132131451. The reversal of 1322132131431 is 1341312312231.

1322132131431 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 13 + 213 + 1 + 431 = 666.

It is not a de Polignac number, because 1322132131431 - 218 = 1322131869287 is a prime.

It is a super-3 number, since 3×13221321314313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1322132131395 and 1322132131404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132131451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28379745 + ... + 28426293.

It is an arithmetic number, because the mean of its divisors is an integer number (79677679900).

Almost surely, 21322132131431 is an apocalyptic number.

1322132131431 is a deficient number, since it is larger than the sum of its proper divisors (590132186169).

1322132131431 is a wasteful number, since it uses less digits than its factorization.

1322132131431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50647 (or 50644 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1322132131431 its reverse (1341312312231), we get a palindrome (2663444443662).

The spelling of 1322132131431 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 1031 3061 3093 9183 9279 27549 46549 139647 418941 3155891 9467673 28403019 47992019 142486489 143976057 427459467 431928171 1282378401 146903570159 440710710477 1322132131431