Search a number
-
+
1105540324320 = 253547109144917
BaseRepresentation
bin10000000101100111010…
…101101001101111100000
310220200121000011101220210
4100011213111221233200
5121103121310334240
62203513405534120
7142605214464405
oct20054725515740
93820530141823
101105540324320
11396947767723
1215a317274340
138033786a2a3
143b71921a2ac
151db57088780
hex10167569be0

1105540324320 has 192 divisors, whose sum is σ = 3559885894656. Its totient is φ = 288267294720.

The previous prime is 1105540324303. The next prime is 1105540324351. The reversal of 1105540324320 is 234230455011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24590502 + ... + 24635418.

It is an arithmetic number, because the mean of its divisors is an integer number (18541072368).

Almost surely, 21105540324320 is an apocalyptic number.

1105540324320 is a gapful number since it is divisible by the number (10) 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 1105540324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779942947328).

1105540324320 is an abundant number, since it is smaller than the sum of its proper divisors (2454345570336).

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

1105540324320 is a wasteful number, since it uses less digits than its factorization.

1105540324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46073 (or 46065 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1105540324320 its reverse (234230455011), we get a palindrome (1339770779331).

The spelling of 1105540324320 in words is "one trillion, one hundred five billion, five hundred forty million, three hundred twenty-four thousand, three hundred twenty".