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1322131301312 = 26291102764601
BaseRepresentation
bin10011001111010101001…
…010101010001111000000
311200101122121022001020112
4103033111022222033000
5133130211103120222
62451213450130452
7164343434430623
oct23172512521700
94611577261215
101322131301312
1146a792719458
121942a3120a28
13978a41cc2c3
1447dc4947dba
15245d1d3cbe2
hex133d52aa3c0

1322131301312 has 56 divisors (see below), whose sum is σ = 2714361561360. Its totient is φ = 638202521600.

The previous prime is 1322131301299. The next prime is 1322131301363. The reversal of 1322131301312 is 2131031312231.

It is a super-3 number, since 3×13221313013123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20433812 + ... + 20498412.

Almost surely, 21322131301312 is an apocalyptic number.

It is an amenable number.

1322131301312 is an abundant number, since it is smaller than the sum of its proper divisors (1392230260048).

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

1322131301312 is a wasteful number, since it uses less digits than its factorization.

1322131301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75669 (or 75659 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1322131301312 its reverse (2131031312231), we get a palindrome (3453162613543).

The spelling of 1322131301312 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 11027 22054 44108 64601 88216 129202 176432 258404 319783 352864 516808 639566 705728 1033616 1279132 1873429 2067232 2558264 3746858 4134464 5116528 7493716 10233056 14987432 20466112 29974864 59949728 119899456 712355227 1424710454 2849420908 5698841816 11397683632 20658301583 22795367264 41316603166 45590734528 82633206332 165266412664 330532825328 661065650656 1322131301312