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1103142033340 = 2252919190710979
BaseRepresentation
bin10000000011011000011…
…000111001011110111100
310220110101212100121011221
4100003120120321132330
5121033213330031330
62202435414123124
7142461613366414
oct20033030713674
93813355317157
101103142033340
11395926a12166
121599680504a4
1380044a2c4b9
143b56c8c3644
151da6674db7a
hex100d86397bc

1103142033340 has 96 divisors (see below), whose sum is σ = 2411903692800. Its totient is φ = 423304654080.

The previous prime is 1103142033271. The next prime is 1103142033377. The reversal of 1103142033340 is 433302413011.

It is a congruent number.

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, 100471971 + ... + 100482949.

It is an arithmetic number, because the mean of its divisors is an integer number (25123996800).

Almost surely, 21103142033340 is an apocalyptic number.

1103142033340 is a gapful number since it is divisible by the number (10) 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 1103142033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205951846400).

1103142033340 is an abundant number, since it is smaller than the sum of its proper divisors (1308761659460).

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

1103142033340 is a wasteful number, since it uses less digits than its factorization.

1103142033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1103142033340 its reverse (433302413011), we get a palindrome (1536444446351).

The spelling of 1103142033340 in words is "one trillion, one hundred three billion, one hundred forty-two million, thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 191 290 382 580 764 907 955 1814 1910 3628 3820 4535 5539 9070 10979 11078 18140 21958 22156 26303 27695 43916 52606 54895 55390 105212 109790 110780 131515 173237 219580 263030 318391 346474 526060 636782 692948 866185 1273564 1591955 1732370 2096989 3183910 3464740 4193978 5023873 6367820 8387956 9957953 10047746 10484945 19915906 20095492 20969890 25119365 39831812 41939780 49789765 50238730 60812681 99579530 100477460 121625362 199159060 243250724 288780637 304063405 577561274 608126810 1155122548 1216253620 1443903185 1901969023 2887806370 3803938046 5775612740 7607876092 9509845115 19019690230 38039380460 55157101667 110314203334 220628406668 275785508335 551571016670 1103142033340