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111021312321 = 3215137814937
BaseRepresentation
bin110011101100101100…
…0101100100101000001
3101121120021012000111100
41213121120230211001
53304332423443241
6123000312005013
711010132404253
oct1473130544501
9347507160440
10111021312321
11430a1700187
1219624990769
13a613c8991a
145532abbcd3
152d4bad89b6
hex19d962c941

111021312321 has 12 divisors (see below), whose sum is σ = 160374908772. Its totient is φ = 74009227776.

The previous prime is 111021312319. The next prime is 111021312323. The reversal of 111021312321 is 123213120111.

111021312321 is a `hidden beast` number, since 1 + 1 + 10 + 21 + 312 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (111021312319) and next prime (111021312323).

It can be written as a sum of positive squares in 2 ways, for example, as 94040355600 + 16980956721 = 306660^2 + 130311^2 .

It is not a de Polignac number, because 111021312321 - 21 = 111021312319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111021312294 and 111021312303.

It is not an unprimeable number, because it can be changed into a prime (111021312323) 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, 271236 + ... + 543701.

It is an arithmetic number, because the mean of its divisors is an integer number (13364575731).

Almost surely, 2111021312321 is an apocalyptic number.

It is an amenable number.

111021312321 is a deficient number, since it is larger than the sum of its proper divisors (49353596451).

111021312321 is a wasteful number, since it uses less digits than its factorization.

111021312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830080 (or 830077 counting only the distinct ones).

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

Adding to 111021312321 its reverse (123213120111), we get a palindrome (234234432432).

The spelling of 111021312321 in words is "one hundred eleven billion, twenty-one million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 15137 45411 136233 814937 2444811 7334433 12335701369 37007104107 111021312321