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11013110330310 = 232511174133158329
BaseRepresentation
bin1010000001000011000010…
…0001110111001111000110
31102222211202121001110111200
42200100300201313033012
52420414322221032220
635231204131243330
72214446066146554
oct240206041671706
942884677043450
1011013110330310
1135666a7741140
12129a4b8449546
1361b6bb61555a
142a1074820bd4
15141722651890
hexa04308773c6

11013110330310 has 192 divisors, whose sum is σ = 33082878703680. Its totient is φ = 2512171376640.

The previous prime is 11013110330297. The next prime is 11013110330311. The reversal of 11013110330310 is 1303301131011.

11013110330310 is a `hidden beast` number, since 1 + 1 + 0 + 13 + 1 + 10 + 330 + 310 = 666.

It is a super-4 number, since 4×110131103303104 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013110330311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69479226 + ... + 69637554.

It is an arithmetic number, because the mean of its divisors is an integer number (172306659915).

Almost surely, 211013110330310 is an apocalyptic number.

11013110330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013110330310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541439351840).

11013110330310 is an abundant number, since it is smaller than the sum of its proper divisors (22069768373370).

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

11013110330310 is a wasteful number, since it uses less digits than its factorization.

11013110330310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162503 (or 162500 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11013110330310 its reverse (1303301131011), we get a palindrome (12316411461321).

The spelling of 11013110330310 in words is "eleven trillion, thirteen billion, one hundred ten million, three hundred thirty thousand, three hundred ten".