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32012223012 = 223271115717351
BaseRepresentation
bin11101110100000100…
…111100001000100100
310001121222122102102100
4131310010330020210
51011030112114022
622412313012100
72212202256150
oct356404741044
9101558572370
1032012223012
1112638079a60
1262549b4030
13303222bac3
1417997a6060
15c756031ac
hex77413c224

32012223012 has 144 divisors (see below), whose sum is σ = 100964957184. Its totient is φ = 8308440000.

The previous prime is 32012222999. The next prime is 32012223013. The reversal of 32012223012 is 21032221023.

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

It is not an unprimeable number, because it can be changed into a prime (32012223013) 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, 4351137 + ... + 4358487.

It is an arithmetic number, because the mean of its divisors is an integer number (701145536).

Almost surely, 232012223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50482478592).

32012223012 is an abundant number, since it is smaller than the sum of its proper divisors (68952734172).

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

32012223012 is a wasteful number, since it uses less digits than its factorization.

32012223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32012223012 its reverse (21032221023), we get a palindrome (53044444035).

The spelling of 32012223012 in words is "thirty-two billion, twelve million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1571 2772 3142 4713 6284 7351 9426 10997 14139 14702 17281 18852 21994 22053 28278 29404 32991 34562 43988 44106 51457 51843 56556 65982 66159 69124 80861 88212 98973 102914 103686 120967 131964 132318 154371 155529 161722 197946 205828 207372 241934 242583 264636 308742 311058 323444 362901 395892 463113 483868 485166 566027 617484 622116 725802 727749 926226 970332 1088703 1132054 1451604 1455498 1698081 1852452 2177406 2264108 2910996 3396162 4354812 5094243 6792324 10188486 11548421 20376972 23096842 34645263 46193684 69290526 80838947 103935789 127032631 138581052 161677894 207871578 242516841 254065262 323355788 381097893 415743156 485033682 508130524 727550523 762195786 889228417 970067364 1143293679 1455101046 1524391572 1778456834 2286587358 2667685251 2910202092 3556913668 4573174716 5335370502 8003055753 10670741004 16006111506 32012223012