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132013001322 = 232173471243271
BaseRepresentation
bin111101011110010010…
…1101000101001101010
3110121202012202022022100
41322330211220221222
54130330312020242
6140351304434230
712352255665606
oct1727445505152
9417665668270
10132013001322
1150a93996894
1221702a78976
13c5aac51887
14656498a506
15367994354c
hex1ebc968a6a

132013001322 has 48 divisors (see below), whose sum is σ = 303726376512. Its totient is φ = 41296456320.

The previous prime is 132013001317. The next prime is 132013001347. The reversal of 132013001322 is 223100310231.

It is a super-4 number, since 4×1320130013224 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132013001295 and 132013001304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515454 + ... + 727817.

It is an arithmetic number, because the mean of its divisors is an integer number (6327632844).

Almost surely, 2132013001322 is an apocalyptic number.

132013001322 is an abundant number, since it is smaller than the sum of its proper divisors (171713375190).

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

132013001322 is a wasteful number, since it uses less digits than its factorization.

132013001322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243643 (or 1243640 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132013001322 its reverse (223100310231), we get a palindrome (355113311553).

The spelling of 132013001322 in words is "one hundred thirty-two billion, thirteen million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 347 694 1041 2082 3123 5899 6246 11798 17697 35394 53091 106182 1243271 2486542 3729813 7459626 11189439 21135607 22378878 42271214 63406821 126813642 190220463 380440926 431415037 862830074 1294245111 2588490222 3882735333 7334055629 7765470666 14668111258 22002166887 44004333774 66006500661 132013001322