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211201123200032 = 2571934885296151
BaseRepresentation
bin110000000001011000010111…
…111011001010110000100000
31000200210122000102001220011102
4300001120113323022300200
5210140304400014400112
62025104242341133532
762325530501505620
oct6001302773126040
91020718012056142
10211201123200032
1161327991054249
121b8302389ba2a8
1390b02466168b4
143a222904d8880
151963c5c5d7bc2
hexc01617ecac20

211201123200032 has 48 divisors (see below), whose sum is σ = 477664716557952. Its totient is φ = 90045778636800.

The previous prime is 211201123200031. The next prime is 211201123200049. The reversal of 211201123200032 is 230002321102112.

It is a super-2 number, since 2×2112011232000322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211201123199977 and 211201123200013.

It is not an unprimeable number, because it can be changed into a prime (211201123200031) 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 7 ways as a sum of consecutive naturals, for example, 2442604844 + ... + 2442691307.

It is an arithmetic number, because the mean of its divisors is an integer number (9951348261624).

Almost surely, 2211201123200032 is an apocalyptic number.

It is an amenable number.

211201123200032 is an abundant number, since it is smaller than the sum of its proper divisors (266463593357920).

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

211201123200032 is a wasteful number, since it uses less digits than its factorization.

211201123200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885296361 (or 4885296353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211201123200032 its reverse (230002321102112), we get a palindrome (441203444302144).

The spelling of 211201123200032 in words is "two hundred eleven trillion, two hundred one billion, one hundred twenty-three million, two hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 5404 6176 10808 21616 43232 4885296151 9770592302 19541184604 34197073057 39082369208 68394146114 78164738416 136788292228 156329476832 273576584456 547153168912 942862157143 1094306337824 1885724314286 3771448628572 6600035100001 7542897257144 13200070200002 15085794514288 26400140400004 30171589028576 52800280800008 105600561600016 211201123200032