Search a number
-
+
1121133244320 = 253255314689901
BaseRepresentation
bin10000010100001000101…
…111111010111110100000
310222011211200222210221100
4100110020233322332200
5121332040102304240
62215012544154400
7143666504224515
oct20241057727640
93864750883840
101121133244320
113a2519541271
12161349308a00
13819511a347b
143c3980a330c
151e26ae6ce30
hex10508bfafa0

1121133244320 has 144 divisors (see below), whose sum is σ = 3898053635112. Its totient is φ = 293327923200.

The previous prime is 1121133244313. The next prime is 1121133244331. The reversal of 1121133244320 is 234423311211.

1121133244320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 332 + 4 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 849412916496 + 271720327824 = 921636^2 + 521268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 7268631 + ... + 7421270.

Almost surely, 21121133244320 is an apocalyptic number.

1121133244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121133244320 is an abundant number, since it is smaller than the sum of its proper divisors (2776920390792).

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

1121133244320 is a wasteful number, since it uses less digits than its factorization.

1121133244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689975 (or 14689964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1121133244320 its reverse (234423311211), we get a palindrome (1355556555531).

The spelling of 1121133244320 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76320 14689901 29379802 44069703 58759604 73449505 88139406 117519208 132209109 146899010 176278812 220348515 235038416 264418218 293798020 352557624 440697030 470076832 528836436 587596040 661045545 705115248 778564753 881394060 1057672872 1175192080 1322091090 1410230496 1557129506 1762788120 2115345744 2335694259 2350384160 2644182180 3114259012 3525576240 3892823765 4230691488 4671388518 5288364360 6228518024 7007082777 7051152480 7785647530 9342777036 10576728720 11678471295 12457036048 14014165554 15571295060 18685554072 21153457440 23356942590 24914072096 28028331108 31142590120 35035413885 37371108144 46713885180 56056662216 62285180240 70070827770 74742216288 93427770360 112113324432 124570360480 140141655540 186855540720 224226648864 280283311080 373711081440 560566622160 1121133244320