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100243443132 = 2234744199049
BaseRepresentation
bin101110101011011111…
…0011000110110111100
3100120202010201112110000
41131112332120312330
53120244310140012
6114015020514300
710146061131150
oct1352676306674
9316663645400
10100243443132
11395708a0578
12175173ab990
1395b7097831
144bcd511060
15291a7c5ddc
hex1756f98dbc

100243443132 has 60 divisors (see below), whose sum is σ = 299492762800. Its totient is φ = 28640983104.

The previous prime is 100243443101. The next prime is 100243443143. The reversal of 100243443132 is 231344342001.

100243443132 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 344 + 313 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100243443096 and 100243443105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22097257 + ... + 22101792.

Almost surely, 2100243443132 is an apocalyptic number.

100243443132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100243443132 is an abundant number, since it is smaller than the sum of its proper divisors (199249319668).

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

100243443132 is a wasteful number, since it uses less digits than its factorization.

100243443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44199072 (or 44199061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100243443132 its reverse (231344342001), we get a palindrome (331587785133).

The spelling of 100243443132 in words is "one hundred billion, two hundred forty-three million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 44199049 88398098 132597147 176796196 265194294 309393343 397791441 530388588 618786686 795582882 928180029 1193374323 1237573372 1591165764 1856360058 2386748646 2784540087 3580122969 3712720116 4773497292 5569080174 7160245938 8353620261 11138160348 14320491876 16707240522 25060860783 33414481044 50121721566 100243443132