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23301311121 = 3311671170979
BaseRepresentation
bin10101101100110111…
…011100101010010001
32020010220112020202000
4111230313130222101
5340210113423441
614412055544213
71453266606444
oct255467345221
966126466660
1023301311121
119977a89a20
12462368b069
13227462897a
1411b092365b
159159cc2b6
hex56cddca91

23301311121 has 32 divisors (see below), whose sum is σ = 38220787200. Its totient is φ = 13911218640.

The previous prime is 23301311113. The next prime is 23301311147. The reversal of 23301311121 is 12111310332.

23301311121 is a `hidden beast` number, since 2 + 330 + 1 + 311 + 1 + 21 = 666.

It is not a de Polignac number, because 23301311121 - 23 = 23301311113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23301311094 and 23301311103.

It is not an unprimeable number, because it can be changed into a prime (23301311161) 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 31 ways as a sum of consecutive naturals, for example, 565591 + ... + 605388.

It is an arithmetic number, because the mean of its divisors is an integer number (1194399600).

Almost surely, 223301311121 is an apocalyptic number.

It is an amenable number.

23301311121 is a deficient number, since it is larger than the sum of its proper divisors (14919476079).

23301311121 is a wasteful number, since it uses less digits than its factorization.

23301311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171066 (or 1171060 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23301311121 its reverse (12111310332), we get a palindrome (35412621453).

The spelling of 23301311121 in words is "twenty-three billion, three hundred one million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 67 99 201 297 603 737 1809 2211 6633 19899 1170979 3512937 10538811 12880769 31616433 38642307 78455593 115926921 235366779 347780763 706100337 863011523 2118301011 2589034569 7767103707 23301311121