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32113112220 = 22325725939829
BaseRepresentation
bin11101111010000101…
…110011010010011100
310001220000111010101200
4131322011303102130
51011231424042340
622430315235500
72214535643610
oct357205632234
9101800433350
1032113112220
111268a018572
126282748b90
13304a0c4267
1417a8d49340
15c7e3d1330
hex77a17349c

32113112220 has 144 divisors (see below), whose sum is σ = 111379719360. Its totient is φ = 7336562688.

The previous prime is 32113112203. The next prime is 32113112221. The reversal of 32113112220 is 2221131123.

32113112220 is a `hidden beast` number, since 321 + 13 + 112 + 220 = 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 = 32113112193 and 32113112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113112221) 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, 3262266 + ... + 3272094.

Almost surely, 232113112220 is an apocalyptic number.

32113112220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55689859680).

32113112220 is an abundant number, since it is smaller than the sum of its proper divisors (79266607140).

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

32113112220 is a wasteful number, since it uses less digits than its factorization.

32113112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32113112220 its reverse (2221131123), we get a palindrome (34334243343).

The spelling of 32113112220 in words is "thirty-two billion, one hundred thirteen million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2593 5186 7779 9829 10372 12965 15558 18151 19658 23337 25930 29487 31116 36302 38895 39316 46674 49145 51860 54453 58974 68803 72604 77790 88461 90755 93348 98290 108906 116685 117948 137606 147435 155580 163359 176922 181510 196580 206409 217812 233370 272265 275212 294870 326718 344015 353844 363020 412818 442305 466740 544530 589740 619227 653436 688030 816795 825636 884610 1032045 1089060 1238454 1376060 1633590 1769220 2064090 2476908 3096135 3267180 4128180 6192270 12384540 25486597 50973194 76459791 101946388 127432985 152919582 178406179 229379373 254865970 305839164 356812358 382298955 458758746 509731940 535218537 713624716 764597910 892030895 917517492 1070437074 1146896865 1529195820 1605655611 1784061790 2140874148 2293793730 2676092685 3211311222 3568123580 4587587460 5352185370 6422622444 8028278055 10704370740 16056556110 32113112220