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211232223132 = 223719253131431
BaseRepresentation
bin1100010010111001101…
…0111110111110011100
3202012020010200201222120
43010232122332332130
511430100422120012
6241012211342540
721155350162140
oct3045632767634
9665203621876
10211232223132
11816460a0737
1234b312b1a50
1316bc43a3958
14a31bb61220
1557645d558c
hex312e6bef9c

211232223132 has 144 divisors (see below), whose sum is σ = 605714360832. Its totient is φ = 56096426880.

The previous prime is 211232223121. The next prime is 211232223133. The reversal of 211232223132 is 231322232112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232223133) by changing a digit.

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, 1541457 + ... + 1672887.

It is an arithmetic number, because the mean of its divisors is an integer number (4206349728).

Almost surely, 2211232223132 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 211232223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302857180416).

211232223132 is an abundant number, since it is smaller than the sum of its proper divisors (394482137700).

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

211232223132 is a wasteful number, since it uses less digits than its factorization.

211232223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131536 (or 131515 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 211232223132 its reverse (231322232112), we get a palindrome (442554455244).

The spelling of 211232223132 in words is "two hundred eleven billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 53 57 76 84 106 114 133 159 212 228 266 318 361 371 399 532 636 722 742 798 1007 1083 1113 1444 1484 1596 2014 2166 2226 2527 3021 4028 4332 4452 5054 6042 7049 7581 10108 12084 14098 15162 19133 21147 28196 30324 38266 42294 57399 76532 84588 114798 131431 133931 229596 262862 267862 394293 401793 525724 535724 788586 803586 920017 1577172 1607172 1840034 2497189 2760051 3680068 4994378 5520102 6965843 7491567 9988756 11040204 13931686 14983134 17480323 20897529 27863372 29966268 34960646 41795058 47446591 48760901 52440969 69921292 83590116 94893182 97521802 104881938 132351017 142339773 146282703 189786364 195043604 209763876 264702034 284679546 292565406 332126137 397053051 529404068 569359092 585130812 664252274 794106102 926457119 996378411 1328504548 1588212204 1852914238 1992756822 2514669323 2779371357 3705828476 3985513644 5029338646 5558742714 7544007969 10058677292 11117485428 15088015938 17602685261 30176031876 35205370522 52808055783 70410741044 105616111566 211232223132