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211002022021100 = 225217401309523283
BaseRepresentation
bin101111111110011110111100…
…100100011100011111101100
31000200002121002201002001101012
4233332132330210130133230
5210124024120114133400
62024432554000004352
762305251543430322
oct5776367444343754
91020077081061335
10211002022021100
116126050068a682
121b7b97323006b8
13909753659a60b
143a167a3947d12
15195d9a800ad35
hexbfe7bc91c7ec

211002022021100 has 72 divisors (see below), whose sum is σ = 486017174816208. Its totient is φ = 79237960192000.

The previous prime is 211002022021067. The next prime is 211002022021127. The reversal of 211002022021100 is 1120220200112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154079942 + ... + 155443341.

It is an arithmetic number, because the mean of its divisors is an integer number (6750238539114).

Almost surely, 2211002022021100 is an apocalyptic number.

211002022021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002022021100 is an abundant number, since it is smaller than the sum of its proper divisors (275015152795108).

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

211002022021100 is a wasteful number, since it uses less digits than its factorization.

211002022021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309523715 (or 309523708 counting only the distinct ones).

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

Adding to 211002022021100 its reverse (1120220200112), we get a palindrome (212122242221212).

The spelling of 211002022021100 in words is "two hundred eleven trillion, two billion, twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 401 425 802 850 1604 1700 2005 4010 6817 8020 10025 13634 20050 27268 34085 40100 68170 136340 170425 340850 681700 309523283 619046566 1238093132 1547616415 3095232830 5261895811 6190465660 7738082075 10523791622 15476164150 21047583244 26309479055 30952328300 52618958110 105237916220 124118836483 131547395275 248237672966 263094790550 496475345932 526189581100 620594182415 1241188364830 2110020220211 2482376729660 3102970912075 4220040440422 6205941824150 8440080880844 10550101101055 12411883648300 21100202202110 42200404404220 52750505505275 105501011010550 211002022021100