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20321422300 = 225223291991531
BaseRepresentation
bin10010111011010000…
…000100101111011100
31221110020100012202101
4102323100010233130
5313104241003200
613200250334444
71316404145104
oct227320045734
957406305671
1020321422300
118688a05393
123b3172a424
131bbb16634a
14daac74204
157de0ac26a
hex4bb404bdc

20321422300 has 144 divisors (see below), whose sum is σ = 47871936000. Its totient is φ = 7464441600.

The previous prime is 20321422259. The next prime is 20321422357. The reversal of 20321422300 is 322412302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13272535 + ... + 13274065.

It is an arithmetic number, because the mean of its divisors is an integer number (332444000).

Almost surely, 220321422300 is an apocalyptic number.

20321422300 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 20321422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935968000).

20321422300 is an abundant number, since it is smaller than the sum of its proper divisors (27550513700).

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

20321422300 is a wasteful number, since it uses less digits than its factorization.

20321422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20321422300 its reverse (322412302), we get a palindrome (20643834602).

The spelling of 20321422300 in words is "twenty billion, three hundred twenty-one million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 199 230 290 398 460 575 580 667 725 796 995 1150 1334 1450 1531 1990 2300 2668 2900 3062 3335 3980 4577 4975 5771 6124 6670 7655 9154 9950 11542 13340 15310 16675 18308 19900 22885 23084 28855 30620 33350 35213 38275 44399 45770 57710 66700 70426 76550 88798 91540 114425 115420 132733 140852 144275 153100 176065 177596 221995 228850 265466 288550 304669 352130 443990 457700 530932 577100 609338 663665 704260 880325 887980 1021177 1109975 1218676 1327330 1523345 1760650 2042354 2219950 2654660 3046690 3318325 3521300 4084708 4439900 5105885 6093380 6636650 7007387 7616725 8835401 10211770 13273300 14014774 15233450 17670802 20423540 25529425 28029548 30466900 35036935 35341604 44177005 51058850 70073870 88354010 102117700 140147740 175184675 176708020 203214223 220885025 350369350 406428446 441770050 700738700 812856892 883540100 1016071115 2032142230 4064284460 5080355575 10160711150 20321422300