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10332240100 = 22527131135411
BaseRepresentation
bin10011001111101100…
…10111100011100100
3222200001221011212021
421213312113203210
5132130023140400
64425131432524
7514020406660
oct114766274344
928601834767
1010332240100
114422309a06
1220042b5744
13c88795a50
147003298a0
1540713971a
hex267d978e4

10332240100 has 72 divisors (see below), whose sum is σ = 27595053248. Its totient is φ = 3269980800.

The previous prime is 10332240097. The next prime is 10332240101. The reversal of 10332240100 is 104223301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10332240101) 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, 558606 + ... + 576805.

Almost surely, 210332240100 is an apocalyptic number.

10332240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332240100 is an abundant number, since it is smaller than the sum of its proper divisors (17262813148).

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

10332240100 is a wasteful number, since it uses less digits than its factorization.

10332240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135445 (or 1135438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10332240100 its reverse (104223301), we get a palindrome (10436463401).

The spelling of 10332240100 in words is "ten billion, three hundred thirty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 1135411 2270822 4541644 5677055 7947877 11354110 14760343 15895754 22708220 28385275 29520686 31791508 39739385 56770550 59041372 73801715 79478770 103322401 113541100 147603430 158957540 198696925 206644802 295206860 369008575 397393850 413289604 516612005 738017150 794787700 1033224010 1476034300 2066448020 2583060025 5166120050 10332240100