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20331422300 = 22527371814337
BaseRepresentation
bin10010111011110110…
…001110001001011100
31221110221011021011202
4102323312032021130
5313114321003200
613201244535032
71316555144450
oct227366161134
957427137152
1020331422300
118693615552
123b34b51478
131bc0257bc7
14dac318660
157dedd51d5
hex4bbd8e25c

20331422300 has 144 divisors (see below), whose sum is σ = 52082791488. Its totient is φ = 6743347200.

The previous prime is 20331422297. The next prime is 20331422347. The reversal of 20331422300 is 322413302.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4685732 + ... + 4690068.

It is an arithmetic number, because the mean of its divisors is an integer number (361686052).

Almost surely, 220331422300 is an apocalyptic number.

20331422300 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 20331422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26041395744).

20331422300 is an abundant number, since it is smaller than the sum of its proper divisors (31751369188).

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

20331422300 is a wasteful number, since it uses less digits than its factorization.

20331422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4569 counting only the distinct ones).

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

Adding to 20331422300 its reverse (322413302), we get a palindrome (20653835602).

The spelling of 20331422300 in words is "twenty billion, three hundred thirty-one million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 181 185 259 350 362 370 518 700 724 740 905 925 1036 1267 1295 1810 1850 2534 2590 3620 3700 4337 4525 5068 5180 6335 6475 6697 8674 9050 12670 12950 13394 17348 18100 21685 25340 25900 26788 30359 31675 33485 43370 46879 60718 63350 66970 86740 93758 108425 121436 126700 133940 151795 160469 167425 187516 216850 234395 303590 320938 334850 433700 468790 607180 641876 669700 758975 784997 802345 937580 1123283 1171975 1517950 1569994 1604690 2246566 2343950 3035900 3139988 3209380 3924985 4011725 4493132 4687900 5494979 5616415 7849970 8023450 10989958 11232830 15699940 16046900 19624925 21979916 22465660 27474895 28082075 29044889 39249850 54949790 56164150 58089778 78499700 109899580 112328300 116179556 137374475 145224445 203314223 274748950 290448890 406628446 549497900 580897780 726122225 813256892 1016571115 1452244450 2033142230 2904488900 4066284460 5082855575 10165711150 20331422300