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32012213100 = 22352729352027
BaseRepresentation
bin11101110100000100…
…111001101101101100
310001121222121220211020
4131310010321231230
51011030111304400
622412312454140
72212202215230
oct356404715554
9101558556736
1032012213100
111263807256a
1262549aa350
13303222743a
1417997a25c0
15c756002a0
hex774139b6c

32012213100 has 144 divisors (see below), whose sum is σ = 106217035008. Its totient is φ = 7291964160.

The previous prime is 32012213083. The next prime is 32012213117. The reversal of 32012213100 is 131221023.

It is an interprime number because it is at equal distance from previous prime (32012213083) and next prime (32012213117).

It is a super-2 number, since 2×320122131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32012213100.

It is an unprimeable number.

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, 589287 + ... + 641313.

Almost surely, 232012213100 is an apocalyptic number.

32012213100 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 32012213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53108517504).

32012213100 is an abundant number, since it is smaller than the sum of its proper divisors (74204821908).

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

32012213100 is a wasteful number, since it uses less digits than its factorization.

32012213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52344 (or 52337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32012213100 its reverse (131221023), we get a palindrome (32143434123).

The spelling of 32012213100 in words is "thirty-two billion, twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 293 300 350 420 525 586 700 879 1050 1172 1465 1758 2051 2100 2930 3516 4102 4395 5860 6153 7325 8204 8790 10255 12306 14650 17580 20510 21975 24612 29300 30765 41020 43950 51275 52027 61530 87900 102550 104054 123060 153825 156081 205100 208108 260135 307650 312162 364189 520270 615300 624324 728378 780405 1040540 1092567 1300675 1456756 1560810 1820945 2185134 2601350 3121620 3641890 3902025 4370268 5202700 5462835 7283780 7804050 9104725 10925670 15243911 15608100 18209450 21851340 27314175 30487822 36418900 45731733 54628350 60975644 76219555 91463466 106707377 109256700 152439110 182926932 213414754 228658665 304878220 320122131 381097775 426829508 457317330 533536885 640244262 762195550 914634660 1067073770 1143293325 1280488524 1524391100 1600610655 2134147540 2286586650 2667684425 3201221310 4573173300 5335368850 6402442620 8003053275 10670737700 16006106550 32012213100