[go: up one dir, main page]

Search a number
-
+
1121313024 = 28331312479
BaseRepresentation
bin100001011010101…
…1110000100000000
32220010221121022000
41002311132010000
54244024004044
6303133344000
736534001116
oct10265360400
92803847260
101121313024
11525a52087
12273638000
1314b403940
14a8cc9ab6
1568695d69
hex42d5e100

1121313024 has 144 divisors (see below), whose sum is σ = 3571276800. Its totient is φ = 344991744.

The previous prime is 1121313007. The next prime is 1121313031. The reversal of 1121313024 is 4203131211.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121312988 and 1121313006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83617 + ... + 96095.

Almost surely, 21121313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785638400).

1121313024 is an abundant number, since it is smaller than the sum of its proper divisors (2449963776).

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

1121313024 is a wasteful number, since it uses less digits than its factorization.

1121313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1121313024 is about 33486.0123633735. The cubic root of 1121313024 is about 1038.9044874426.

Adding to 1121313024 its reverse (4203131211), we get a palindrome (5324444235).

The spelling of 1121313024 in words is "one billion, one hundred twenty-one million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 12479 14976 22464 24958 29952 37437 44928 49916 74874 89856 99832 112311 149748 162227 199664 224622 299496 324454 336933 399328 449244 486681 598992 648908 673866 798656 898488 973362 1197984 1297816 1347732 1460043 1597312 1796976 1946724 2395968 2595632 2695464 2920086 3194624 3593952 3893448 4380129 4791936 5191264 5390928 5840172 7187904 7786896 8760258 9583872 10382528 10781856 11680344 14375808 15573792 17520516 20765056 21563712 23360688 28751616 31147584 35041032 41530112 43127424 46721376 62295168 70082064 86254848 93442752 124590336 140164128 186885504 280328256 373771008 560656512 1121313024