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1322313303132 = 2232199184577513
BaseRepresentation
bin10011001111100000000…
…000111100010001011100
311200102010021202200210200
4103033200000330101130
5133131044201200012
62451243511103500
7164351104424313
oct23174000742134
94612107680720
101322313303132
1146a876429088
12194334071b90
1397902b243a3
1448000ba327a
15245e2cde3dc
hex133e003c45c

1322313303132 has 36 divisors (see below), whose sum is σ = 3359310754800. Its totient is φ = 438556168512.

The previous prime is 1322313303131. The next prime is 1322313303151. The reversal of 1322313303132 is 2313033132231.

1322313303132 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 313 + 30 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1322313303096 and 1322313303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322313303131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92281593 + ... + 92295920.

Almost surely, 21322313303132 is an apocalyptic number.

1322313303132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322313303132 is an abundant number, since it is smaller than the sum of its proper divisors (2036997451668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322313303132 is a wasteful number, since it uses less digits than its factorization.

1322313303132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184577722 (or 184577717 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1322313303132 its reverse (2313033132231), we get a palindrome (3635346435363).

The spelling of 1322313303132 in words is "one trillion, three hundred twenty-two billion, three hundred thirteen million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 184577513 369155026 553732539 738310052 1107465078 1661197617 2214930156 3322395234 6644790468 36730925087 73461850174 110192775261 146923700348 220385550522 330578325783 440771101044 661156651566 1322313303132