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2123131012000 = 25532323077511
BaseRepresentation
bin11110111001010100011…
…110000100001110100000
321111222011122120100110221
4132321110132010032200
5234241133014341000
64303204121532424
7306251110560235
oct36712436041640
97458148510427
102123131012000
11749462119629
122a3588344114
1312529731425b
1474a8d98378c
153a362ca561a
hex1ee547843a0

2123131012000 has 96 divisors (see below), whose sum is σ = 5443338910464. Its totient is φ = 812328352000.

The previous prime is 2123131011997. The next prime is 2123131012001. The reversal of 2123131012000 is 2101313212.

It is a super-2 number, since 2×21231310120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2123131012001) 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 15 ways as a sum of consecutive naturals, for example, 11446756 + ... + 11630755.

It is an arithmetic number, because the mean of its divisors is an integer number (56701446984).

Almost surely, 22123131012000 is an apocalyptic number.

2123131012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123131012000 is an abundant number, since it is smaller than the sum of its proper divisors (3320207898464).

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

2123131012000 is a wasteful number, since it uses less digits than its factorization.

2123131012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23077559 (or 23077541 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2123131012000 its reverse (2101313212), we get a palindrome (2125232325212).

The spelling of 2123131012000 in words is "two trillion, one hundred twenty-three billion, one hundred thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 23077511 46155022 92310044 115387555 184620088 230775110 369240176 461550220 530782753 576937775 738480352 923100440 1061565506 1153875550 1846200880 2123131012 2307751100 2653913765 2884688875 3692401760 4246262024 4615502200 5307827530 5769377750 8492524048 9231004400 10615655060 11538755500 13269568825 16985048096 18462008800 21231310120 23077511000 26539137650 42462620240 46155022000 53078275300 66347844125 84925240480 92310044000 106156550600 132695688250 212313101200 265391376500 424626202400 530782753000 1061565506000 2123131012000