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132313201331130 = 235556519635441
BaseRepresentation
bin11110000101011010010001…
…010111010100101110111010
3122100111000111111102021100000
4132011122101113110232322
5114320304414020044010
61145223502350253430
736604212321460101
oct3605322127245672
9570430444367300
10132313201331130
1139182793831826
1212a0b2274b7276
1358aa10994bca1
142495dc9167038
151046b83ba57c0
hex7856915d4bba

132313201331130 has 96 divisors (see below), whose sum is σ = 356818763141568. Its totient is φ = 35277272928000.

The previous prime is 132313201331123. The next prime is 132313201331131. The reversal of 132313201331130 is 31133102313231.

132313201331130 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 320 + 1 + 331 + 1 + 3 + 0 = 666.

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 = 132313201331094 and 132313201331103.

It is not an unprimeable number, because it can be changed into a prime (132313201331131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914210 + ... + 18549650.

It is an arithmetic number, because the mean of its divisors is an integer number (3716862116058).

Almost surely, 2132313201331130 is an apocalyptic number.

132313201331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132313201331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178409381570784).

132313201331130 is an abundant number, since it is smaller than the sum of its proper divisors (224505561810438).

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

132313201331130 is an equidigital number, since it uses as much as digits as its factorization.

132313201331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9641114 (or 9641102 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132313201331130 its reverse (31133102313231), we get a palindrome (163446303644361).

The spelling of 132313201331130 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred one million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5651 11302 16953 28255 33906 50859 56510 84765 101718 152577 169530 254295 305154 457731 508590 762885 915462 1373193 1525770 2288655 2746386 4577310 6865965 9635441 13731930 19270882 28906323 48177205 57812646 86718969 96354410 144531615 173437938 260156907 289063230 433594845 520313814 780470721 867189690 1300784535 1560941442 2341412163 2601569070 3902353605 4682824326 7804707210 11707060815 23414121630 54449877091 108899754182 163349631273 272249385455 326699262546 490048893819 544498770910 816748156365 980097787638 1470146681457 1633496312730 2450244469095 2940293362914 4410440044371 4900488938190 7350733407285 8820880088742 13231320133113 14701466814570 22052200221855 26462640266226 44104400443710 66156600665565 132313201331130