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10103143124232 = 23322511777314603
BaseRepresentation
bin1001001100000101001001…
…0000011100110100001000
31022202211222102012211221200
42103001102100130310020
52311012214114433412
633253153032104200
72061633206420304
oct223012220346410
938684872184850
1010103143124232
11324579a9a5954
121172082235060
13583950bb1892
1426cdcd7b0d04
15127c150939dc
hex9305241cd08

10103143124232 has 96 divisors (see below), whose sum is σ = 27487240915680. Its totient is φ = 3352398912000.

The previous prime is 10103143124219. The next prime is 10103143124233. The reversal of 10103143124232 is 23242134130101.

10103143124232 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 314 + 312 + 4 + 2 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10103143124196 and 10103143124205.

It is not an unprimeable number, because it can be changed into a prime (10103143124233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31956643 + ... + 32271245.

It is an arithmetic number, because the mean of its divisors is an integer number (286325426205).

Almost surely, 210103143124232 is an apocalyptic number.

10103143124232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103143124232 is an abundant number, since it is smaller than the sum of its proper divisors (17384097791448).

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

10103143124232 is a wasteful number, since it uses less digits than its factorization.

10103143124232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316643 (or 316636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10103143124232 its reverse (23242134130101), we get a palindrome (33345277254333).

The spelling of 10103143124232 in words is "ten trillion, one hundred three billion, one hundred forty-three million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1506 1777 2008 2259 3012 3554 4518 5331 6024 7108 9036 10662 14216 15993 18072 21324 31986 42648 63972 127944 314603 446027 629206 892054 943809 1258412 1338081 1784108 1887618 2516824 2676162 2831427 3568216 3775236 4014243 5352324 5662854 7550472 8028486 10704648 11325708 16056972 22651416 32113944 78965353 157930706 236896059 315861412 473792118 559049531 631722824 710688177 947584236 1118099062 1421376354 1677148593 1895168472 2236198124 2842752708 3354297186 4472396248 5031445779 5685505416 6708594372 10062891558 13417188744 20125783116 40251566232 140321432281 280642864562 420964296843 561285729124 841928593686 1122571458248 1262892890529 1683857187372 2525785781058 3367714374744 5051571562116 10103143124232