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2122211201000 = 2353111711348723
BaseRepresentation
bin11110111000011101101…
…001010000111111101000
321111212210112210002222212
4132320131221100333220
5234232242031413000
64302532543104252
7306216241400432
oct36703551207750
97455715702885
102122211201000
1174902a995a50
122a33702a2088
1312517b8a24a7
1474a0374b652
153a30c163c35
hex1ee1da50fe8

2122211201000 has 128 divisors (see below), whose sum is σ = 5736099058560. Its totient is φ = 726318208000.

The previous prime is 2122211200999. The next prime is 2122211201003. The reversal of 2122211201000 is 1021122212.

It is not an unprimeable number, because it can be changed into a prime (2122211201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5487362 + ... + 5861361.

It is an arithmetic number, because the mean of its divisors is an integer number (44813273895).

Almost surely, 22122211201000 is an apocalyptic number.

2122211201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122211201000 is an abundant number, since it is smaller than the sum of its proper divisors (3613887857560).

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

2122211201000 is a wasteful number, since it uses less digits than its factorization.

2122211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348772 (or 11348758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122211201000 its reverse (1021122212), we get a palindrome (2123232323212).

The spelling of 2122211201000 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 17000 18700 23375 37400 46750 93500 187000 11348723 22697446 45394892 56743615 90789784 113487230 124835953 192928291 226974460 249671906 283718075 385856582 453948920 499343812 567436150 624179765 771713164 964641455 998687624 1134872300 1248359530 1418590375 1543426328 1929282910 2122211201 2269744600 2496719060 2837180750 3120898825 3858565820 4244422402 4823207275 4993438120 5674361500 6241797650 7717131640 8488844804 9646414550 10611056005 11348723000 12483595300 15604494125 16977689608 19292829100 21222112010 24116036375 24967190600 31208988250 38585658200 42444224020 48232072750 53055280025 62417976500 84888448040 96464145500 106110560050 124835953000 192928291000 212221120100 265276400125 424442240200 530552800250 1061105600500 2122211201000