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2123331221000 = 235311373517507
BaseRepresentation
bin11110111001100000011…
…001110011011000001000
321111222200121022000121002
4132321200121303120020
5234242040243033000
64303240033034132
7306256061405033
oct36714031633010
97458617260532
102123331221000
11749555134610
122a36233b5948
131252c9942712
1474aac3bc01a
153a3756518d5
hex1ee60673608

2123331221000 has 128 divisors (see below), whose sum is σ = 5434827615360. Its totient is φ = 770048928000.

The previous prime is 2123331220999. The next prime is 2123331221021. The reversal of 2123331221000 is 1221333212.

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

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 31 ways as a sum of consecutive naturals, for example, 3844247 + ... + 4361753.

It is an arithmetic number, because the mean of its divisors is an integer number (42459590745).

Almost surely, 22123331221000 is an apocalyptic number.

2123331221000 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 2123331221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717413807680).

2123331221000 is an abundant number, since it is smaller than the sum of its proper divisors (3311496394360).

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

2123331221000 is a wasteful number, since it uses less digits than its factorization.

2123331221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517912 (or 517898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2123331221000 its reverse (1221333212), we get a palindrome (2124552554212).

The spelling of 2123331221000 in words is "two trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 373 440 500 550 746 1000 1100 1375 1492 1865 2200 2750 2984 3730 4103 5500 7460 8206 9325 11000 14920 16412 18650 20515 32824 37300 41030 46625 74600 82060 93250 102575 164120 186500 205150 373000 410300 512875 517507 820600 1025750 1035014 2051500 2070028 2587535 4103000 4140056 5175070 5692577 10350140 11385154 12937675 20700280 22770308 25875350 28462885 45540616 51750700 56925770 64688375 103501400 113851540 129376750 142314425 193030111 227703080 258753500 284628850 386060222 517507000 569257700 711572125 772120444 965150555 1138515400 1423144250 1544240888 1930301110 2123331221 2846288500 3860602220 4246662442 4825752775 5692577000 7721204440 8493324884 9651505550 10616656105 16986649768 19303011100 21233312210 24128763875 38606022200 42466624420 48257527750 53083280525 84933248840 96515055500 106166561050 193030111000 212333122100 265416402625 424666244200 530832805250 1061665610500 2123331221000