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20212311040 = 21054219377
BaseRepresentation
bin10010110100101111…
…110110010000000000
31221011122000210020121
4102310233312100000
5312343322423130
613141351550024
71313610544345
oct226457662000
957148023217
1020212311040
118632360499
123b0108b314
131ba168267c
14d9a5907cc
157d4707d7a
hex4b4bf6400

20212311040 has 88 divisors (see below), whose sum is σ = 48606211512. Its totient is φ = 8064860160.

The previous prime is 20212311011. The next prime is 20212311071. The reversal of 20212311040 is 4011321202.

It can be written as a sum of positive squares in 4 ways, for example, as 1340145664 + 18872165376 = 36608^2 + 137376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2150832 + ... + 2160208.

Almost surely, 220212311040 is an apocalyptic number.

20212311040 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 20212311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24303105756).

20212311040 is an abundant number, since it is smaller than the sum of its proper divisors (28393900472).

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

20212311040 is an equidigital number, since it uses as much as digits as its factorization.

20212311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20212311040 its reverse (4011321202), we get a palindrome (24223632242).

The spelling of 20212311040 in words is "twenty billion, two hundred twelve million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 842 1024 1280 1684 2105 2560 3368 4210 5120 6736 8420 9377 13472 16840 18754 26944 33680 37508 46885 53888 67360 75016 93770 107776 134720 150032 187540 215552 269440 300064 375080 431104 538880 600128 750160 1077760 1200256 1500320 2155520 2400512 3000640 3947717 4801024 6001280 7895434 9602048 12002560 15790868 19738585 24005120 31581736 39477170 48010240 63163472 78954340 126326944 157908680 252653888 315817360 505307776 631634720 1010615552 1263269440 2021231104 2526538880 4042462208 5053077760 10106155520 20212311040