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2132123330100 = 2235228325113349
BaseRepresentation
bin11111000001101100011…
…101000010011000110100
321112211101100012102220110
4133001230131002120310
5234413042033030400
64311252310303020
7310020001165131
oct37015435023064
97484340172813
102132123330100
11752257043285
122a5277957a70
1312609b304b3a
14752a3d59588
153a6dc465e50
hex1f06c742634

2132123330100 has 72 divisors (see below), whose sum is σ = 6190742135200. Its totient is φ = 566557130880.

The previous prime is 2132123330033. The next prime is 2132123330101. The reversal of 2132123330100 is 10333212312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132123330101) by changing a digit.

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, 12471775 + ... + 12641574.

Almost surely, 22132123330100 is an apocalyptic number.

2132123330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132123330100 is an abundant number, since it is smaller than the sum of its proper divisors (4058618805100).

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

2132123330100 is a wasteful number, since it uses less digits than its factorization.

2132123330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25113649 (or 25113642 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2132123330100 its reverse (10333212312), we get a palindrome (2142456542412).

The spelling of 2132123330100 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-three million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 28300 42450 84900 25113349 50226698 75340047 100453396 125566745 150680094 251133490 301360188 376700235 502266980 627833725 753400470 1255667450 1506800940 1883501175 2511334900 3767002350 7107077767 7534004700 14214155534 21321233301 28428311068 35535388835 42642466602 71070777670 85284933204 106606166505 142141555340 177676944175 213212333010 355353888350 426424666020 533030832525 710707776700 1066061665050 2132123330100