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11343411120 = 243550992857
BaseRepresentation
bin10101001000001111…
…01011011110110000
31002021112121222201210
422210013223132300
5141212403123440
65113332400120
7551046255306
oct124407533660
932245558653
1011343411120
1148a1072738
122246a76040
1310ba1147b2
14798744276
15465cc5a80
hex2a41eb7b0

11343411120 has 80 divisors (see below), whose sum is σ = 35234039520. Its totient is φ = 3018934272.

The previous prime is 11343411113. The next prime is 11343411127. The reversal of 11343411120 is 2111434311.

11343411120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11343411113) and next prime (11343411127).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11343411127) by changing a digit.

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, 75732 + ... + 168588.

It is an arithmetic number, because the mean of its divisors is an integer number (440425494).

Almost surely, 211343411120 is an apocalyptic number.

11343411120 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 11343411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617019760).

11343411120 is an abundant number, since it is smaller than the sum of its proper divisors (23890628400).

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

11343411120 is a wasteful number, since it uses less digits than its factorization.

11343411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93382 (or 93376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11343411120 its reverse (2111434311), we get a palindrome (13454845431).

The spelling of 11343411120 in words is "eleven billion, three hundred forty-three million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 10180 12216 15270 20360 24432 30540 40720 61080 92857 122160 185714 278571 371428 464285 557142 742856 928570 1114284 1392855 1485712 1857140 2228568 2785710 3714280 4457136 5571420 7428560 11142840 22285680 47264213 94528426 141792639 189056852 236321065 283585278 378113704 472642130 567170556 708963195 756227408 945284260 1134341112 1417926390 1890568520 2268682224 2835852780 3781137040 5671705560 11343411120