Search a number
-
+
1103323000032 = 253311116090383
BaseRepresentation
bin10000000011100011001…
…011001110110011100000
310220110212110212122211000
4100003203023032303200
5121034101142000112
62202505400552000
7142466241522201
oct20034313166340
93813773778730
101103323000032
11395a0a085110
121599b8782600
1380073381396
143b58894d5a8
151da775987dc
hex100e32cece0

1103323000032 has 96 divisors (see below), whose sum is σ = 3510573212160. Its totient is φ = 334340300160.

The previous prime is 1103323000007. The next prime is 1103323000063. The reversal of 1103323000032 is 2300003233011.

1103323000032 is a `hidden beast` number, since 1 + 1 + 0 + 332 + 300 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11033230000322 (a number of 25 digits) contains 22 as substring.

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 = 1103322999969 and 1103323000014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58035688 + ... + 58054695.

It is an arithmetic number, because the mean of its divisors is an integer number (36568470960).

Almost surely, 21103323000032 is an apocalyptic number.

1103323000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1103323000032 is an abundant number, since it is smaller than the sum of its proper divisors (2407250212128).

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

1103323000032 is a wasteful number, since it uses less digits than its factorization.

1103323000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116090413 (or 116090399 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1103323000032 its reverse (2300003233011), we get a palindrome (3403326233043).

The spelling of 1103323000032 in words is "one trillion, one hundred three billion, three hundred twenty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 116090383 232180766 348271149 464361532 696542298 928723064 1044813447 1276994213 1393084596 1857446128 2089626894 2553988426 2786169192 3134440341 3714892256 3830982639 4179253788 5107976852 5572338384 6268880682 7661965278 8358507576 10215953704 11144676768 11492947917 12537761364 15323930556 16717015152 20431907408 22985895834 25075522728 30647861112 33434030304 34478843751 40863814816 45971791668 50151045456 61295722224 68957687502 91943583336 100302090912 122591444448 137915375004 183887166672 275830750008 367774333344 551661500016 1103323000032