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211120321113 = 32131804447189
BaseRepresentation
bin1100010010011111000…
…0000111001001011001
3202011221100010112021100
43010213300013021121
511424333300233423
6240553133102013
721152521056162
oct3044760071131
9664840115240
10211120321113
1181598a10029
1234abb927909
1316ba7153940
14a30ad52769
15575987e343
hex3127c07259

211120321113 has 12 divisors (see below), whose sum is σ = 328409388580. Its totient is φ = 129920197536.

The previous prime is 211120321073. The next prime is 211120321127. The reversal of 211120321113 is 311123021112.

211120321113 is a `hidden beast` number, since 211 + 1 + 20 + 321 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128229880464 + 82890440649 = 358092^2 + 287907^2 .

It is not a de Polignac number, because 211120321113 - 214 = 211120304729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120321183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902223478 + ... + 902223711.

Almost surely, 2211120321113 is an apocalyptic number.

It is an amenable number.

211120321113 is a deficient number, since it is larger than the sum of its proper divisors (117289067467).

211120321113 is a wasteful number, since it uses less digits than its factorization.

211120321113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804447208 (or 1804447205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211120321113 its reverse (311123021112), we get a palindrome (522243342225).

The spelling of 211120321113 in words is "two hundred eleven billion, one hundred twenty million, three hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 1804447189 5413341567 16240024701 23457813457 70373440371 211120321113