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20313302020 = 22511127829877
BaseRepresentation
bin10010111010110001…
…000110010000000100
31221102200001122211021
4102322301012100010
5313100201131040
613155400320524
71316245134604
oct227261062004
957380048737
1020313302020
118684369510
123b2aa73144
131bb958224b
14da9b5cc04
157dd50624a
hex4bac46404

20313302020 has 96 divisors (see below), whose sum is σ = 47012474880. Its totient is φ = 7311306240.

The previous prime is 20313301999. The next prime is 20313302027. The reversal of 20313302020 is 2020331302.

It is a junction number, because it is equal to n+sod(n) for n = 20313301985 and 20313302003.

It is not an unprimeable number, because it can be changed into a prime (20313302027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23161822 + ... + 23162698.

It is an arithmetic number, because the mean of its divisors is an integer number (489713280).

Almost surely, 220313302020 is an apocalyptic number.

20313302020 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 20313302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506237440).

20313302020 is an abundant number, since it is smaller than the sum of its proper divisors (26699172860).

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

20313302020 is a wasteful number, since it uses less digits than its factorization.

20313302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20313302020 its reverse (2020331302), we get a palindrome (22333633322).

The spelling of 20313302020 in words is "twenty billion, three hundred thirteen million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 829 877 1270 1397 1658 1754 2540 2794 3316 3508 4145 4385 5588 6985 8290 8770 9119 9647 13970 16580 17540 18238 19294 27940 36476 38588 45595 48235 91190 96470 105283 111379 182380 192940 210566 222758 421132 445516 526415 556895 727033 1052830 1113790 1158113 1225169 1454066 2105660 2227580 2316226 2450338 2908132 3635165 4632452 4900676 5790565 6125845 7270330 7997363 11581130 12251690 14540660 15994726 23162260 24503380 31989452 39986815 79973630 92333191 159947260 184666382 369332764 461665955 923331910 1015665101 1846663820 2031330202 4062660404 5078325505 10156651010 20313302020