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32013320000220 = 223251373187409671
BaseRepresentation
bin1110100011101101011101…
…00100010001001011011100
311012100102222022110201200200
413101312232210101023130
513144001234410001340
6152030414410023500
76512612625131166
oct721665644211334
9135312868421620
1032013320000220
11a222855611189
123710490117b90
1314b2ac6456650
147c964aca3936
153a7b17368330
hex1d1dae9112dc

32013320000220 has 144 divisors (see below), whose sum is σ = 106009405424832. Its totient is φ = 7772253834240.

The previous prime is 32013320000213. The next prime is 32013320000287. The reversal of 32013320000220 is 2200002331023.

It is a happy number.

32013320000220 is a `hidden beast` number, since 320 + 1 + 3 + 320 + 0 + 0 + 0 + 2 + 20 = 666.

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 = 32013320000193 and 32013320000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93534016 + ... + 93875655.

Almost surely, 232013320000220 is an apocalyptic number.

32013320000220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32013320000220 is an abundant number, since it is smaller than the sum of its proper divisors (73996085424612).

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

32013320000220 is a wasteful number, since it uses less digits than its factorization.

32013320000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187409772 (or 187409767 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32013320000220 its reverse (2200002331023), we get a palindrome (34213322331243).

The spelling of 32013320000220 in words is "thirty-two trillion, thirteen billion, three hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1314 1460 1898 2190 2340 2628 2847 3285 3796 4380 4745 5694 6570 8541 9490 11388 13140 14235 17082 18980 28470 34164 42705 56940 85410 170820 187409671 374819342 562229013 749638684 937048355 1124458026 1686687039 1874096710 2248916052 2436325723 2811145065 3373374078 3748193420 4872651446 5622290130 6746748156 7308977169 8433435195 9745302892 11244580260 12181628615 13680905983 14617954338 16866870390 21926931507 24363257230 27361811966 29235908676 33733740780 36544885845 41042717949 43853863014 48726514460 54723623932 68404529915 73089771690 82085435898 87707726028 109634657535 123128153847 136809059830 146179543380 164170871796 177851777779 205213589745 219269315070 246256307694 273618119660 355703555558 410427179490 438538630140 492512615388 533555333337 615640769235 711407111116 820854358980 889258888895 1067110666674 1231281538470 1600666000011 1778517777790 2134221333348 2462563076940 2667776666685 3201332000022 3557035555580 5335553333370 6402664000044 8003330000055 10671106666740 16006660000110 32013320000220