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2112631641 = 321941301331
BaseRepresentation
bin111110111101100…
…0011001101011001
312110020021210210100
41331323003031121
513311313203031
6545345010013
7103232033631
oct17573031531
95406253710
102112631641
1199458646a
124ab623909
132788c14c3
141608176c1
15c570ede6
hex7dec3359

2112631641 has 24 divisors (see below), whose sum is σ = 3290545440. Its totient is φ = 1301745600.

The previous prime is 2112631639. The next prime is 2112631649. The reversal of 2112631641 is 1461362112.

It is a happy number.

2112631641 is a `hidden beast` number, since 2 + 1 + 12 + 6 + 3 + 1 + 641 = 666.

It is not a de Polignac number, because 2112631641 - 21 = 2112631639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112631649) 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 23 ways as a sum of consecutive naturals, for example, 143655 + ... + 157676.

It is an arithmetic number, because the mean of its divisors is an integer number (137106060).

Almost surely, 22112631641 is an apocalyptic number.

It is an amenable number.

2112631641 is a deficient number, since it is larger than the sum of its proper divisors (1177913799).

2112631641 is a wasteful number, since it uses less digits than its factorization.

2112631641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301397 (or 301394 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2112631641 is about 45963.3728201054. The cubic root of 2112631641 is about 1283.1416239333.

Adding to 2112631641 its reverse (1461362112), we get a palindrome (3573993753).

The spelling of 2112631641 in words is "two billion, one hundred twelve million, six hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 3 9 19 41 57 123 171 369 779 2337 7011 301331 903993 2711979 5725289 12354571 17175867 37063713 51527601 111191139 234736849 704210547 2112631641