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100450032011055 = 33517793347165533
BaseRepresentation
bin10110110101101111011000…
…011110011100011100101111
3111011122221002102221101211000
4112311233120132130130233
5101131233131143323210
6553350035130331343
730105163302131556
oct2665573036343457
9434587072841730
10100450032011055
112a00868a385a41
12b323a80589b53
13440852205144c
141ab3b43a78d9d
15b92e08782ac0
hex5b5bd879c72f

100450032011055 has 128 divisors (see below), whose sum is σ = 191534226739200. Its totient is φ = 49768549189632.

The previous prime is 100450032011051. The next prime is 100450032011117. The reversal of 100450032011055 is 550110230054001.

100450032011055 is a `hidden beast` number, since 1 + 0 + 0 + 450 + 0 + 3 + 201 + 1 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 100450032011055 - 22 = 100450032011051 is a prime.

It is a super-3 number, since 3×1004500320110553 (a number of 43 digits) contains 333 as substring.

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 (100450032011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606745069 + ... + 606910601.

It is an arithmetic number, because the mean of its divisors is an integer number (1496361146400).

Almost surely, 2100450032011055 is an apocalyptic number.

100450032011055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100450032011055 is a deficient number, since it is larger than the sum of its proper divisors (91084194728145).

100450032011055 is a wasteful number, since it uses less digits than its factorization.

100450032011055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168990 (or 168984 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 100450032011055 its reverse (550110230054001), we get a palindrome (650560262065056).

The spelling of 100450032011055 in words is "one hundred trillion, four hundred fifty billion, thirty-two million, eleven thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 79 85 135 153 237 255 395 459 711 765 1185 1343 2133 2295 3347 3555 4029 6715 10041 10665 12087 16735 20145 30123 36261 50205 56899 60435 90369 150615 165533 170697 181305 264413 284495 451845 496599 512091 793239 827665 853485 1322065 1489797 1536273 2379717 2482995 2560455 2814061 3966195 4469391 4495021 7139151 7448985 7681365 8442183 11898585 13077107 13485063 14070305 22346955 22475105 25326549 35695755 39231321 40455189 42210915 65385535 67425315 75979647 117693963 121365567 126632745 196156605 202275945 222310819 353081889 379898235 554038951 588469815 606827835 666932457 1111554095 1662116853 1765409445 2000797371 2770194755 3334662285 4986350559 6002392113 8310584265 9418662167 10003986855 14959051677 24931752795 28255986501 30011960565 43769077129 47093310835 74795258385 84767959503 131307231387 141279932505 218845385645 254303878509 393921694161 423839797515 656536156935 744074311193 1181765082483 1271519392545 1969608470805 2232222933579 3720371555965 5908825412415 6696668800737 11161114667895 20090006402211 33483344003685 100450032011055