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20400313222200 = 23352285791189703
BaseRepresentation
bin1001010001101110100010…
…11011000100010000111000
32200020020202220102012201210
410220313101123010100320
510133214320141102300
6111215435143443120
74203605531202102
oct450672133042070
980206686365653
1020400313222200
1165557a6a8495a
1223558737564a0
13b4c98379c252
14507547c76572
152559d4001050
hex128dd16c4438

20400313222200 has 96 divisors (see below), whose sum is σ = 63243236995200. Its totient is φ = 5439888600960.

The previous prime is 20400313222169. The next prime is 20400313222249. The reversal of 20400313222200 is 222231300402.

20400313222200 = 2256342 + 2256352 + ... + 2260332.

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 23 ways as a sum of consecutive naturals, for example, 16552549 + ... + 17742251.

It is an arithmetic number, because the mean of its divisors is an integer number (658783718700).

Almost surely, 220400313222200 is an apocalyptic number.

20400313222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400313222200 is an abundant number, since it is smaller than the sum of its proper divisors (42842923773000).

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

20400313222200 is a wasteful number, since it uses less digits than its factorization.

20400313222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218301 (or 1218292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20400313222200 its reverse (222231300402), we get a palindrome (20622544522602).

The spelling of 20400313222200 in words is "twenty trillion, four hundred billion, three hundred thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 28579 57158 85737 114316 142895 171474 228632 285790 342948 428685 571580 685896 714475 857370 1143160 1189703 1428950 1714740 2143425 2379406 2857900 3429480 3569109 4286850 4758812 5715800 5948515 7138218 8573700 9517624 11897030 14276436 17147400 17845545 23794060 28552872 29742575 35691090 47588120 59485150 71382180 89227725 118970300 142764360 178455450 237940600 356910900 713821800 34000522037 68001044074 102001566111 136002088148 170002610185 204003132222 272004176296 340005220370 408006264444 510007830555 680010440740 816012528888 850013050925 1020015661110 1360020881480 1700026101850 2040031322220 2550039152775 3400052203700 4080062644440 5100078305550 6800104407400 10200156611100 20400313222200