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213213132203232 = 2537881360137851
BaseRepresentation
bin110000011110101010001101…
…000000011010010011100000
31000221220222100202222022112210
4300132222031000122103200
5210421240443321000412
62033244432152522120
762624066115036060
oct6036521500322340
91027828322868483
10213213132203232
1161a331aa745967
121bab61726b0340
1391c7bb1b45705
143a917dbc6b3a0
15199b269a1383c
hexc1ea8d01a4e0

213213132203232 has 96 divisors (see below), whose sum is σ = 640365436295424. Its totient is φ = 60848891136000.

The previous prime is 213213132203231. The next prime is 213213132203317. The reversal of 213213132203232 is 232302231312312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 213213132203232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213132203231) 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 15 ways as a sum of consecutive naturals, for example, 179476894 + ... + 180660957.

It is an arithmetic number, because the mean of its divisors is an integer number (6670473294744).

Almost surely, 2213213132203232 is an apocalyptic number.

It is an amenable number.

213213132203232 is an abundant number, since it is smaller than the sum of its proper divisors (427152304092192).

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

213213132203232 is a wasteful number, since it uses less digits than its factorization.

213213132203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360138752 (or 360138744 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 213213132203232 its reverse (232302231312312), we get a palindrome (445515363515544).

The spelling of 213213132203232 in words is "two hundred thirteen trillion, two hundred thirteen billion, one hundred thirty-two million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 881 1762 2643 3524 5286 6167 7048 10572 12334 14096 18501 21144 24668 28192 37002 42288 49336 74004 84576 98672 148008 197344 296016 592032 360137851 720275702 1080413553 1440551404 2160827106 2520964957 2881102808 4321654212 5041929914 5762205616 7562894871 8643308424 10083859828 11524411232 15125789742 17286616848 20167719656 30251579484 34573233696 40335439312 60503158968 80670878624 121006317936 242012635872 317281446731 634562893462 951844340193 1269125786924 1903688680386 2220970127117 2538251573848 3807377360772 4441940254234 5076503147696 6662910381351 7614754721544 8883880508468 10153006295392 13325820762702 15229509443088 17767761016936 26651641525404 30459018886176 35535522033872 53303283050808 71071044067744 106606566101616 213213132203232