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12332111010100 = 22527212719816987
BaseRepresentation
bin1011001101110100101100…
…0110001001100100110100
31121122221100000112110100221
42303131023012021210310
53104022130404310400
642121143225344124
72411652131015200
oct263351306114464
947587300473327
1012332111010100
113a25023193282
121472067038044
136b5bb405798b
14308c3d67db00
15165bbe6e7c1a
hexb374b189934

12332111010100 has 108 divisors (see below), whose sum is σ = 31374889545216. Its totient is φ = 4194859596480.

The previous prime is 12332111010077. The next prime is 12332111010101. The reversal of 12332111010100 is 101011123321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332111010101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9286194 + ... + 10530793.

Almost surely, 212332111010100 is an apocalyptic number.

12332111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332111010100 is an abundant number, since it is smaller than the sum of its proper divisors (19042778535116).

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

12332111010100 is a wasteful number, since it uses less digits than its factorization.

12332111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19817142 (or 19817128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12332111010100 its reverse (101011123321), we get a palindrome (12433122133421).

The spelling of 12332111010100 in words is "twelve trillion, three hundred thirty-two billion, one hundred eleven million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 127 140 175 196 245 254 350 490 508 635 700 889 980 1225 1270 1778 2450 2540 3175 3556 4445 4900 6223 6350 8890 12446 12700 17780 22225 24892 31115 44450 62230 88900 124460 155575 311150 622300 19816987 39633974 79267948 99084935 138718909 198169870 277437818 396339740 495424675 554875636 693594545 971032363 990849350 1387189090 1942064726 1981698700 2516757349 2774378180 3467972725 3884129452 4855161815 5033514698 6935945450 9710323630 10067029396 12583786745 13871890900 17617301443 19420647260 24275809075 25167573490 35234602886 48551618150 50335146980 62918933725 70469205772 88086507215 97103236300 123321110101 125837867450 176173014430 246642220202 251675734900 352346028860 440432536075 493284440404 616605550505 880865072150 1233211101010 1761730144300 2466422202020 3083027752525 6166055505050 12332111010100