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2123332313140 = 225106166615657
BaseRepresentation
bin11110111001100000011…
…101111110000000110100
321111222200200100111201201
4132321200131332000310
5234242041033010030
64303240112302244
7306256103604103
oct36714035760064
97458620314651
102123332313140
11749555810105
122a3623841984
131252c9c3585c
1474aac5c403a
153a3757ba2ca
hex1ee6077e034

2123332313140 has 12 divisors (see below), whose sum is σ = 4458997857636. Its totient is φ = 849332925248.

The previous prime is 2123332313119. The next prime is 2123332313161. The reversal of 2123332313140 is 413132333212.

It is an interprime number because it is at equal distance from previous prime (2123332313119) and next prime (2123332313161).

It can be written as a sum of positive squares in 2 ways, for example, as 700779939876 + 1422552373264 = 837126^2 + 1192708^2 .

It is a super-3 number, since 3×21233323131403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2123332313099 and 2123332313108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53083307809 + ... + 53083307848.

It is an arithmetic number, because the mean of its divisors is an integer number (371583154803).

Almost surely, 22123332313140 is an apocalyptic number.

2123332313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123332313140 is an abundant number, since it is smaller than the sum of its proper divisors (2335665544496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2123332313140 is a wasteful number, since it uses less digits than its factorization.

2123332313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106166615666 (or 106166615664 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 2123332313140 its reverse (413132333212), we get a palindrome (2536464646352).

The spelling of 2123332313140 in words is "two trillion, one hundred twenty-three billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 106166615657 212333231314 424666462628 530833078285 1061666156570 2123332313140