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20312020400 = 245279117963
BaseRepresentation
bin10010111010101100…
…001101010110110000
31221102120122112202212
4102322230031112300
5313044334123100
613155313031252
71316231216240
oct227254152660
957376575685
1020312020400
118683673621
123b2a555528
131bb9223aa9
14da9907b20
157dd351635
hex4bab0d5b0

20312020400 has 120 divisors (see below), whose sum is σ = 55839235584. Its totient is φ = 6955603200.

The previous prime is 20312020363. The next prime is 20312020403. The reversal of 20312020400 is 402021302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20312020403) 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 23 ways as a sum of consecutive naturals, for example, 2546819 + ... + 2554781.

Almost surely, 220312020400 is an apocalyptic number.

20312020400 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 20312020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27919617792).

20312020400 is an abundant number, since it is smaller than the sum of its proper divisors (35527215184).

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

20312020400 is a wasteful number, since it uses less digits than its factorization.

20312020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20312020400 its reverse (402021302), we get a palindrome (20714041702).

The spelling of 20312020400 in words is "twenty billion, three hundred twelve million, twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 911 1400 1822 2800 3644 4555 6377 7288 7963 9110 12754 14576 15926 18220 22775 25508 31852 31885 36440 39815 45550 51016 55741 63704 63770 72880 79630 91100 102032 111482 127408 127540 159260 159425 182200 199075 222964 255080 278705 318520 318850 364400 398150 445928 510160 557410 637040 637700 796300 891856 1114820 1275400 1393525 1592600 2229640 2550800 2787050 3185200 4459280 5574100 7254293 11148200 14508586 22296400 29017172 36271465 50780051 58034344 72542930 101560102 116068688 145085860 181357325 203120204 253900255 290171720 362714650 406240408 507800510 580343440 725429300 812480816 1015601020 1269501275 1450858600 2031202040 2539002550 2901717200 4062404080 5078005100 10156010200 20312020400