Search a number
-
+
11020301203320 = 23325174335417687
BaseRepresentation
bin1010000001011101110100…
…1000110111011101111000
31110000112022201221122211200
42200113131020313131320
52421024034102001240
635234353444454200
72215122223441113
oct240273510673570
943015281848750
1011020301203320
1135697578044a2
12129b9846aa360
1361c29632b3b6
142a155786557a
151419e3ac0930
hexa05dd237778

11020301203320 has 384 divisors, whose sum is σ = 38085596115840. Its totient is φ = 2754032762880.

The previous prime is 11020301203277. The next prime is 11020301203343. The reversal of 11020301203320 is 2330210302011.

11020301203320 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 301 + 20 + 3 + 320 = 666.

It is a super-2 number, since 2×110203012033202 (a number of 27 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 = 11020301203293 and 11020301203302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433624517 + ... + 1433632203.

It is an arithmetic number, because the mean of its divisors is an integer number (99181239885).

Almost surely, 211020301203320 is an apocalyptic number.

11020301203320 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 11020301203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042798057920).

11020301203320 is an abundant number, since it is smaller than the sum of its proper divisors (27065294912520).

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

11020301203320 is a wasteful number, since it uses less digits than its factorization.

11020301203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11020301203320 its reverse (2330210302011), we get a palindrome (13350511505331).

The spelling of 11020301203320 in words is "eleven trillion, twenty billion, three hundred one million, two hundred three thousand, three hundred twenty".