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112021113321 = 33134719734469
BaseRepresentation
bin110100001010011111…
…0101000100111101001
3101201010221111011122000
41220110332220213221
53313404401111241
6123243425121213
711043662516055
oct1502476504751
9351127434560
10112021113321
1143564aa84a7
1219863789209
13a743157350
1455c97b6c65
152da977aeb6
hex1a14fa89e9

112021113321 has 64 divisors (see below), whose sum is σ = 183457612800. Its totient is φ = 67124913408.

The previous prime is 112021113317. The next prime is 112021113359. The reversal of 112021113321 is 123311120211.

112021113321 is a `hidden beast` number, since 1 + 120 + 211 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 112021113321 - 22 = 112021113317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112021113294 and 112021113303.

It is not an unprimeable number, because it can be changed into a prime (112021113361) 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 63 ways as a sum of consecutive naturals, for example, 3232675 + ... + 3267143.

It is an arithmetic number, because the mean of its divisors is an integer number (2866525200).

Almost surely, 2112021113321 is an apocalyptic number.

It is an amenable number.

112021113321 is a deficient number, since it is larger than the sum of its proper divisors (71436499479).

112021113321 is a wasteful number, since it uses less digits than its factorization.

112021113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34735 (or 34729 counting only the distinct ones).

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

Adding to 112021113321 its reverse (123311120211), we get a palindrome (235332233532).

The spelling of 112021113321 in words is "one hundred twelve billion, twenty-one million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 47 117 141 197 351 423 591 611 1269 1773 1833 2561 5319 5499 7683 9259 16497 23049 27777 34469 69147 83331 103407 120367 249993 310221 361101 448097 930663 1083303 1344291 1620043 3249909 4032873 4860129 6790393 12098619 14580387 20371179 21060559 43741161 61113537 63181677 88275109 183340611 189545031 264825327 319148471 568635093 794475981 957445413 2383427943 2872336239 4148930123 8617008717 12446790369 37340371107 112021113321