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2122002012320 = 255148917535081
BaseRepresentation
bin11110111000010001001…
…011010001100010100000
321111212020222011020001222
4132320101023101202200
5234231330003343240
64302500111314212
7306211121333051
oct36702113214240
97455228136058
102122002012320
11748a328a7443
122a331221b968
1312514744b9c8
14749c3a56728
153a2e8ae1eb5
hex1ee112d18a0

2122002012320 has 96 divisors (see below), whose sum is σ = 5020446206160. Its totient is φ = 847580037120.

The previous prime is 2122002012287. The next prime is 2122002012331. The reversal of 2122002012320 is 232102002212.

It can be written as a sum of positive squares in 8 ways, for example, as 5524056976 + 2116477955344 = 74324^2 + 1454812^2 .

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 15 ways as a sum of consecutive naturals, for example, 417632180 + ... + 417637260.

Almost surely, 22122002012320 is an apocalyptic number.

2122002012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122002012320 is an abundant number, since it is smaller than the sum of its proper divisors (2898444193840).

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

2122002012320 is a wasteful number, since it uses less digits than its factorization.

2122002012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2122002012320 its reverse (232102002212), we get a palindrome (2354104014532).

The spelling of 2122002012320 in words is "two trillion, one hundred twenty-two billion, two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1489 1753 2978 3506 5081 5956 7012 7445 8765 10162 11912 14024 14890 17530 20324 23824 25405 28048 29780 35060 40648 47648 50810 56096 59560 70120 81296 101620 119120 140240 162592 203240 238240 280480 406480 812960 2610217 5220434 7565609 8906993 10440868 13051085 15131218 17813986 20881736 26102170 30262436 35627972 37828045 41763472 44534965 52204340 60524872 71255944 75656090 83526944 89069930 104408680 121049744 142511888 151312180 178139860 208817360 242099488 285023776 302624360 356279720 417634720 605248720 712559440 1210497440 1425118880 13262512577 26525025154 53050050308 66312562885 106100100616 132625125770 212200201232 265250251540 424400402464 530500503080 1061001006160 2122002012320