Search a number
-
+
1130053010436 = 2232733785715527
BaseRepresentation
bin10000011100011100011…
…010001000010000000100
311000000212100002212202100
4100130130122020100010
5122003322032313221
62223050021512100
7144433524046530
oct20343432102004
94000770085670
101130053010436
113a62865115a9
12163018572630
1382743140a9c
143c9a2990bc0
151e5de09b926
hex1071c688404

1130053010436 has 144 divisors (see below), whose sum is σ = 3278316577536. Its totient is φ = 321517873152.

The previous prime is 1130053010417. The next prime is 1130053010441. The reversal of 1130053010436 is 6340103500311.

1130053010436 is a `hidden beast` number, since 11 + 300 + 5 + 301 + 0 + 43 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72772105 + ... + 72787631.

It is an arithmetic number, because the mean of its divisors is an integer number (22766087344).

Almost surely, 21130053010436 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 1130053010436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639158288768).

1130053010436 is an abundant number, since it is smaller than the sum of its proper divisors (2148263567100).

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

1130053010436 is a wasteful number, since it uses less digits than its factorization.

1130053010436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16738 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1130053010436 its reverse (6340103500311), we get a palindrome (7470156510747).

The spelling of 1130053010436 in words is "one trillion, one hundred thirty billion, fifty-three million, ten thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 337 674 857 1011 1348 1714 2022 2359 2571 3033 3428 4044 4718 5142 5999 6066 7077 7713 9436 10284 11998 12132 14154 15426 15527 17997 21231 23996 28308 30852 31054 35994 42462 46581 53991 62108 71988 84924 93162 107982 108689 139743 186324 215964 217378 279486 288809 326067 434756 558972 577618 652134 866427 978201 1155236 1304268 1732854 1956402 2021663 2599281 3465708 3912804 4043326 5198562 5232599 6064989 8086652 10397124 10465198 12129978 13306639 15697797 18194967 20930396 24259956 26613278 31395594 36389934 36628193 39919917 47093391 53226556 62791188 72779868 73256386 79839834 93146473 94186782 109884579 119759751 146512772 159679668 186292946 188373564 219769158 239519502 279439419 329653737 372585892 439538316 479039004 558878838 659307474 838318257 1117757676 1318614948 1676636514 3353273028 4484337343 8968674686 13453012029 17937349372 26906024058 31390361401 40359036087 53812048116 62780722802 80718072174 94171084203 125561445604 161436144348 188342168406 282513252609 376684336812 565026505218 1130053010436