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20343413000 = 235329701497
BaseRepresentation
bin10010111100100011…
…111101100100001000
31221111202201110022202
4102330203331210020
5313130403204000
613202353535332
71320062104661
oct227443754410
957452643282
1020343413000
11869a365319
123b38b74548
131bc28958b1
14dadb5a368
157e0ea2dd5
hex4bc8fd908

20343413000 has 64 divisors (see below), whose sum is σ = 49245159600. Its totient is φ = 7856755200.

The previous prime is 20343412997. The next prime is 20343413009. The reversal of 20343413000 is 31434302.

It can be written as a sum of positive squares in 8 ways, for example, as 5089680964 + 15253732036 = 71342^2 + 123506^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20343413009) 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 15 ways as a sum of consecutive naturals, for example, 321749 + ... + 379748.

Almost surely, 220343413000 is an apocalyptic number.

20343413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20343413000 is an abundant number, since it is smaller than the sum of its proper divisors (28901746600).

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

20343413000 is a wasteful number, since it uses less digits than its factorization.

20343413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701547 (or 701533 counting only the distinct ones).

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

Adding to 20343413000 its reverse (31434302), we get a palindrome (20374847302).

The spelling of 20343413000 in words is "twenty billion, three hundred forty-three million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 701497 1402994 2805988 3507485 5611976 7014970 14029940 17537425 20343413 28059880 35074850 40686826 70149700 81373652 87687125 101717065 140299400 162747304 175374250 203434130 350748500 406868260 508585325 701497000 813736520 1017170650 2034341300 2542926625 4068682600 5085853250 10171706500 20343413000