Search a number
-
+
1130323123332 = 22321347110346589
BaseRepresentation
bin10000011100101100100…
…000100001110010000100
311000001120011101000222200
4100130230200201302010
5122004400204421312
62223132511154500
7144443314010634
oct20345440416204
94001504330880
101130323123332
113a6404a323a7
12163092b15a30
13827870a60c0
143c9ca7c46c4
151e607b550dc
hex1072c821c84

1130323123332 has 144 divisors (see below), whose sum is σ = 3145375134720. Its totient is φ = 340076001024.

The previous prime is 1130323123261. The next prime is 1130323123367. The reversal of 1130323123332 is 2333213230311.

1130323123332 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 323 + 1 + 2 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1130323123296 and 1130323123305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24238294 + ... + 24284882.

It is an arithmetic number, because the mean of its divisors is an integer number (21842882880).

Almost surely, 21130323123332 is an apocalyptic number.

1130323123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130323123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572687567360).

1130323123332 is an abundant number, since it is smaller than the sum of its proper divisors (2015052011388).

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

1130323123332 is a wasteful number, since it uses less digits than its factorization.

1130323123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47762 (or 47757 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1130323123332 its reverse (2333213230311), we get a palindrome (3463536353643).

The spelling of 1130323123332 in words is "one trillion, one hundred thirty billion, three hundred twenty-three million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1103 1222 1692 1833 2206 2444 3309 3666 4412 5499 6618 7332 9927 10998 13236 14339 19854 21996 28678 39708 43017 46589 51841 57356 86034 93178 103682 129051 139767 155523 172068 186356 207364 258102 279534 311046 419301 466569 516204 559068 605657 622092 673933 838602 933138 1211314 1347866 1677204 1816971 1866276 2021799 2189683 2422628 2695732 3633942 4043598 4379366 5450913 6065397 6569049 7267884 8087196 8758732 10901826 12130794 13138098 19707147 21803652 24261588 26276196 28465879 39414294 51387667 56931758 78828588 85397637 102775334 113863516 154163001 170795274 205550668 256192911 308326002 341590548 462489003 512385822 616652004 668039671 924978006 1024771644 1336079342 1849956012 2004119013 2415220349 2672158684 4008238026 4830440698 6012357039 7245661047 8016476052 9660881396 12024714078 14491322094 21736983141 24049428156 28982644188 31397864537 43473966282 62795729074 86947932564 94193593611 125591458148 188387187222 282580780833 376774374444 565161561666 1130323123332