Search a number
-
+
2343132020000 = 25541039112759
BaseRepresentation
bin100010000110001101100…
…011010011110100100000
322022000000220021111221102
4202012031203103310200
5301342213244120000
64552230415013532
7331166665360022
oct42061543236440
98260026244842
102343132020000
11823797a38102
1231a14620a2a8
1313cc582a1ab5
14815a0130012
1540e3c0e43d5
hex2218d8d3d20

2343132020000 has 120 divisors (see below), whose sum is σ = 5770055491200. Its totient is φ = 936342432000.

The previous prime is 2343132019979. The next prime is 2343132020017. The reversal of 2343132020000 is 202313432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 20723621 + ... + 20836379.

It is an arithmetic number, because the mean of its divisors is an integer number (48083795760).

Almost surely, 22343132020000 is an apocalyptic number.

2343132020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885027745600).

2343132020000 is an abundant number, since it is smaller than the sum of its proper divisors (3426923471200).

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

2343132020000 is a wasteful number, since it uses less digits than its factorization.

2343132020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113828 (or 113805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2343132020000 its reverse (202313432), we get a palindrome (2343334333432).

The spelling of 2343132020000 in words is "two trillion, three hundred forty-three billion, one hundred thirty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1039 1250 2000 2078 2500 4000 4156 5000 5195 8312 10000 10390 16624 20000 20780 25975 33248 41560 51950 83120 103900 112759 129875 166240 207800 225518 259750 415600 451036 519500 563795 649375 831200 902072 1039000 1127590 1298750 1804144 2078000 2255180 2597500 2818975 3608288 4156000 4510360 5195000 5637950 9020720 10390000 11275900 14094875 18041440 20780000 22551800 28189750 45103600 56379500 70474375 90207200 112759000 117156601 140948750 225518000 234313202 281897500 451036000 468626404 563795000 585783005 937252808 1127590000 1171566010 1874505616 2255180000 2343132020 2928915025 3749011232 4686264040 5857830050 9372528080 11715660100 14644575125 18745056160 23431320200 29289150250 46862640400 58578300500 73222875625 93725280800 117156601000 146445751250 234313202000 292891502500 468626404000 585783005000 1171566010000 2343132020000