Search a number
-
+
32033141322 = 23721333125321
BaseRepresentation
bin11101110101010100…
…101111001001001010
310001200110000011221120
4131311110233021022
51011100441010242
622414341220110
72212545131400
oct356524571112
9101613004846
1032033141322
1112648967216
12625ba01636
1330366741c0
14179c48d470
15c773861ec
hex77552f24a

32033141322 has 96 divisors (see below), whose sum is σ = 80504512704. Its totient is φ = 8422444800.

The previous prime is 32033141321. The next prime is 32033141339. The reversal of 32033141322 is 22314133023.

It is a super-2 number, since 2×320331413222 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32033141292 and 32033141301.

It is not an unprimeable number, because it can be changed into a prime (32033141321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1252422 + ... + 1277742.

It is an arithmetic number, because the mean of its divisors is an integer number (838588674).

Almost surely, 232033141322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32033141322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40252256352).

32033141322 is an abundant number, since it is smaller than the sum of its proper divisors (48471371382).

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

32033141322 is a wasteful number, since it uses less digits than its factorization.

32033141322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25684 (or 25677 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32033141322 its reverse (22314133023), we get a palindrome (54347274345).

The spelling of 32033141322 in words is "thirty-two billion, thirty-three million, one hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 331 546 637 662 993 1274 1911 1986 2317 3822 4303 4634 6951 8606 12909 13902 16219 25321 25818 30121 32438 48657 50642 60242 75963 90363 97314 151926 177247 180726 210847 329173 354494 421694 531741 632541 658346 987519 1063482 1240729 1265082 1975038 2304211 2481458 3722187 4608422 6912633 7444374 8381251 13825266 16129477 16762502 25143753 32258954 48388431 50287506 58668757 96776862 108956263 117337514 176006271 217912526 326868789 352012542 410681299 653737578 762693841 821362598 1232043897 1525387682 2288081523 2464087794 4576163046 5338856887 10677713774 16016570661 32033141322