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11230013340 = 22345713174481
BaseRepresentation
bin10100111010101110…
…00110011110011100
31001222122020210020000
422131113012132130
5140444340411330
65054202054300
7545201352450
oct123527063634
931878223200
1011230013340
114843060267
122214aaa390
13109c78ca10
14787666660
1545ad76560
hex29d5c679c

11230013340 has 480 divisors, whose sum is σ = 45919488384. Its totient is φ = 2229534720.

The previous prime is 11230013321. The next prime is 11230013359. The reversal of 11230013340 is 4331003211.

11230013340 is a `hidden beast` number, since 1 + 12 + 300 + 13 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (11230013321) and next prime (11230013359).

It is a super-2 number, since 2×112300133402 (a number of 21 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 2503900 + ... + 2508380.

Almost surely, 211230013340 is an apocalyptic number.

11230013340 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 11230013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22959744192).

11230013340 is an abundant number, since it is smaller than the sum of its proper divisors (34689475044).

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

11230013340 is a wasteful number, since it uses less digits than its factorization.

11230013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4528 counting only the distinct ones).

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

Adding to 11230013340 its reverse (4331003211), we get a palindrome (15561016551).

The spelling of 11230013340 in words is "eleven billion, two hundred thirty million, thirteen thousand, three hundred forty".