Search a number
-
+
1100313303320 = 23571117234991831
BaseRepresentation
bin10000000000101111110…
…010001001100100011000
310220012002201121020002102
4100000233302021210120
5121011420201201240
62201251004422532
7142331534522210
oct20005762114430
93805081536072
101100313303320
113947051a1460
121592b8847a48
137c9b398335a
143b380d41240
151d94d23b815
hex1002fc89918

1100313303320 has 512 divisors, whose sum is σ = 3418951680000. Its totient is φ = 307960012800.

The previous prime is 1100313303311. The next prime is 1100313303347. The reversal of 1100313303320 is 233033130011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1100313303292 and 1100313303301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 600934805 + ... + 600936635.

It is an arithmetic number, because the mean of its divisors is an integer number (6677640000).

Almost surely, 21100313303320 is an apocalyptic number.

1100313303320 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 1100313303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709475840000).

1100313303320 is an abundant number, since it is smaller than the sum of its proper divisors (2318638376680).

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

1100313303320 is a wasteful number, since it uses less digits than its factorization.

1100313303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1100313303320 its reverse (233033130011), we get a palindrome (1333346433331).

The spelling of 1100313303320 in words is "one trillion, one hundred billion, three hundred thirteen million, three hundred three thousand, three hundred twenty".