Search a number
-
+
100403444230020 = 2232519208791406089
BaseRepresentation
bin10110110101000011111111…
…101000001010011110000100
3111011111110211122210220122100
4112311003333220022132010
5101130002223210330040
6553312412220432100
730101623642414221
oct2665037750123604
9434443748726570
10100403444230020
1129a9a952834568
12b316a3a3a8630
1344040091c50c9
141ab17a45b6948
15b91acd75ab30
hex5b50ffa0a784

100403444230020 has 144 divisors (see below), whose sum is σ = 320602018464000. Its totient is φ = 25363847748096.

The previous prime is 100403444229967. The next prime is 100403444230021. The reversal of 100403444230020 is 20032444304001.

It is a happy number.

100403444230020 is a `hidden beast` number, since 1 + 0 + 0 + 403 + 4 + 4 + 4 + 230 + 0 + 20 = 666.

100403444230020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1004034442300202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100403444230021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70703136 + ... + 72109224.

It is an arithmetic number, because the mean of its divisors is an integer number (2226402906000).

Almost surely, 2100403444230020 is an apocalyptic number.

100403444230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100403444230020 is an abundant number, since it is smaller than the sum of its proper divisors (220198574233980).

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

100403444230020 is a wasteful number, since it uses less digits than its factorization.

100403444230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427002 (or 1426997 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100403444230020 its reverse (20032444304001), we get a palindrome (120435888534021).

The spelling of 100403444230020 in words is "one hundred trillion, four hundred three billion, four hundred forty-four million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 20879 41758 62637 83516 104395 125274 187911 208790 250548 313185 375822 396701 417580 626370 751644 793402 939555 1190103 1252740 1406089 1586804 1879110 1983505 2380206 2812178 3570309 3758220 3967010 4218267 4760412 5624356 5950515 7030445 7140618 7934020 8436534 11901030 12654801 14060890 14281236 16873068 17851545 21091335 23802060 25309602 26715691 28121780 35703090 42182670 50619204 53431382 63274005 71406180 80147073 84365340 106862764 126548010 133578455 160294146 240441219 253096020 267156910 320588292 400735365 480882438 534313820 801470730 961764876 1202206095 1602941460 2404412190 4808824380 29357732231 58715464462 88073196693 117430928924 146788661155 176146393386 264219590079 293577322310 352292786772 440365983465 528439180158 557796912389 587154644620 880731966930 1056878360316 1115593824778 1321097950395 1673390737167 1761463933860 2231187649556 2642195900790 2788984561945 3346781474334 5020172211501 5284391801580 5577969123890 6693562948668 8366953685835 10040344423002 11155938247780 16733907371670 20080688846004 25100861057505 33467814743340 50201722115010 100403444230020