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132201112212 = 2232132365918637
BaseRepresentation
bin111101100011111001…
…1001110001010010100
3110122020022201022221100
41323013303032022110
54131221441042322
6140422104350100
712360031625061
oct1730763161224
9418208638840
10132201112212
1151080099334
1221755a75330
13c60ac054b0
146581955c68
15368b1eedac
hex1ec7cce294

132201112212 has 144 divisors (see below), whose sum is σ = 376117822080. Its totient is φ = 38847561984.

The previous prime is 132201112201. The next prime is 132201112223. The reversal of 132201112212 is 212211102231.

It is an interprime number because it is at equal distance from previous prime (132201112201) and next prime (132201112223).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7084158 + ... + 7102794.

It is an arithmetic number, because the mean of its divisors is an integer number (2611929320).

Almost surely, 2132201112212 is an apocalyptic number.

132201112212 is a gapful number since it is divisible by the number (12) 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 132201112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188058911040).

132201112212 is an abundant number, since it is smaller than the sum of its proper divisors (243916709868).

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

132201112212 is a wasteful number, since it uses less digits than its factorization.

132201112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19342 (or 19337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132201112212 its reverse (212211102231), we get a palindrome (344412214443).

The spelling of 132201112212 in words is "one hundred thirty-two billion, two hundred one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 659 828 897 1196 1318 1794 1977 2636 2691 3588 3954 5382 5931 7908 8567 10764 11862 15157 17134 18637 23724 25701 30314 34268 37274 45471 51402 55911 60628 74548 77103 90942 102804 111822 136413 154206 167733 181884 197041 223644 242281 272826 308412 335466 394082 428651 484562 545652 591123 670932 726843 788164 857302 969124 1182246 1285953 1453686 1714604 1773369 2180529 2364492 2571906 2907372 3546738 3857859 4361058 5143812 5572463 7093476 7715718 8722116 11144926 12281783 15431436 16717389 22289852 24563566 33434778 36845349 49127132 50152167 66869556 73690698 100304334 110536047 147381396 159663179 200608668 221072094 282481009 319326358 442144188 478989537 564962018 638652716 847443027 957979074 1129924036 1436968611 1694886054 1915958148 2542329081 2873937222 3389772108 3672253117 5084658162 5747874444 7344506234 10169316324 11016759351 14689012468 22033518702 33050278053 44067037404 66100556106 132201112212