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211203311232 = 273760372341
BaseRepresentation
bin1100010010110010110…
…0101100011010000000
3202012011010021212022110
43010230230230122000
511430021021424412
6241005255535320
721154546344654
oct3045454543200
9665133255273
10211203311232
1181630843801
1234b2368a540
1316bbb3c0014
14a317d96a64
155761cc3d3c
hex312cb2c680

211203311232 has 64 divisors (see below), whose sum is σ = 561090339360. Its totient is φ = 70390871040.

The previous prime is 211203311161. The next prime is 211203311251. The reversal of 211203311232 is 232113302112.

211203311232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2112033112323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 211203311199 and 211203311208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2883382 + ... + 2955722.

Almost surely, 2211203311232 is an apocalyptic number.

It is an amenable number.

211203311232 is an abundant number, since it is smaller than the sum of its proper divisors (349887028128).

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

211203311232 is an equidigital number, since it uses as much as digits as its factorization.

211203311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79961 (or 79949 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211203311232 its reverse (232113302112), we get a palindrome (443316613344).

The spelling of 211203311232 in words is "two hundred eleven billion, two hundred three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7603 15206 22809 30412 45618 60824 72341 91236 121648 144682 182472 217023 243296 289364 364944 434046 486592 578728 729888 868092 973184 1157456 1459776 1736184 2314912 2919552 3472368 4629824 6944736 9259648 13889472 27778944 550008623 1100017246 1650025869 2200034492 3300051738 4400068984 6600103476 8800137968 13200206952 17600275936 26400413904 35200551872 52800827808 70401103744 105601655616 211203311232