Search a number
-
+
100124443008 = 273328971193
BaseRepresentation
bin101110100111111100…
…0011100000110000000
3100120102211210200222000
41131033320130012000
53120023324134013
6113555130144000
710143114503052
oct1351770340600
9316384720860
10100124443008
113950a701a67
12174a3582000
139598530a65
144bbb7b58d2
15291011b973
hex174fe1c180

100124443008 has 64 divisors (see below), whose sum is σ = 295506178800. Its totient is φ = 33374813184.

The previous prime is 100124442997. The next prime is 100124443009. The reversal of 100124443008 is 800344421001.

100124443008 is a `hidden beast` number, since 100 + 124 + 4 + 430 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100124443009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14482141 + ... + 14489052.

Almost surely, 2100124443008 is an apocalyptic number.

100124443008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100124443008 is an abundant number, since it is smaller than the sum of its proper divisors (195381735792).

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

100124443008 is an equidigital number, since it uses as much as digits as its factorization.

100124443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28971216 (or 28971198 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100124443008 its reverse (800344421001), we get a palindrome (900468864009).

The spelling of 100124443008 in words is "one hundred billion, one hundred twenty-four million, four hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 28971193 57942386 86913579 115884772 173827158 231769544 260740737 347654316 463539088 521481474 695308632 782222211 927078176 1042962948 1390617264 1564444422 1854156352 2085925896 2781234528 3128888844 3708312704 4171851792 5562469056 6257777688 8343703584 11124938112 12515555376 16687407168 25031110752 33374814336 50062221504 100124443008