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11323213440 = 2735711191401
BaseRepresentation
bin10101000101110101…
…01000011010000000
31002020010121211201120
422202322220122000
5141142220312230
65111331432240
7550412504040
oct124272503200
932203554646
1011323213440
114890727940
122240155680
1310b5b923c6
14795ba7720
15464136310
hex2a2ea8680

11323213440 has 512 divisors, whose sum is σ = 45347143680. Its totient is φ = 2334720000.

The previous prime is 11323213427. The next prime is 11323213459. The reversal of 11323213440 is 4431232311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11323213440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28237240 + ... + 28237640.

It is an arithmetic number, because the mean of its divisors is an integer number (88568640).

Almost surely, 211323213440 is an apocalyptic number.

11323213440 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 11323213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673571840).

11323213440 is an abundant number, since it is smaller than the sum of its proper divisors (34023930240).

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

11323213440 is a wasteful number, since it uses less digits than its factorization.

11323213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11323213440 its reverse (4431232311), we get a palindrome (15754445751).

The spelling of 11323213440 in words is "eleven billion, three hundred twenty-three million, two hundred thirteen thousand, four hundred forty".