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23131222101 = 32131011957453
BaseRepresentation
bin10101100010101110…
…100111000001010101
32012201001110211110200
4111202232213001111
5334333043101401
614343142211113
71446133100211
oct254256470125
965631424420
1023131222101
11989aa76589
124596723a99
132248314c90
1411960c9941
15905ad0686
hex562ba7055

23131222101 has 24 divisors (see below), whose sum is σ = 36338176056. Its totient is φ = 14093654400.

The previous prime is 23131222099. The next prime is 23131222111. The reversal of 23131222101 is 10122213132.

23131222101 is a `hidden beast` number, since 231 + 312 + 22 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4798332900 + 18332889201 = 69270^2 + 135399^2 .

It is not a de Polignac number, because 23131222101 - 21 = 23131222099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131222111) 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 23 ways as a sum of consecutive naturals, for example, 966910 + ... + 990543.

It is an arithmetic number, because the mean of its divisors is an integer number (1514090669).

Almost surely, 223131222101 is an apocalyptic number.

It is an amenable number.

23131222101 is a deficient number, since it is larger than the sum of its proper divisors (13206953955).

23131222101 is a wasteful number, since it uses less digits than its factorization.

23131222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957573 (or 1957570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23131222101 its reverse (10122213132), we get a palindrome (33253435233).

The spelling of 23131222101 in words is "twenty-three billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 1957453 5872359 17617077 25446889 76340667 197702753 229022001 593108259 1779324777 2570135789 7710407367 23131222101