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11010143424 = 2637233531009
BaseRepresentation
bin10100100000100000…
…10111010011000000
31001102022112020101210
422100100113103000
5140022044042144
65020305330120
7536561450340
oct122020272300
931368466353
1011010143424
11473aa36795
122173336940
131066069587
14766390d20
154468e4ab9
hex2904174c0

11010143424 has 224 divisors, whose sum is σ = 34873021440. Its totient is φ = 2997485568.

The previous prime is 11010143413. The next prime is 11010143429. The reversal of 11010143424 is 42434101011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11010143424.

It is not an unprimeable number, because it can be changed into a prime (11010143429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911432 + ... + 10912440.

Almost surely, 211010143424 is an apocalyptic number.

11010143424 is a gapful number since it is divisible by the number (14) 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 11010143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436510720).

11010143424 is an abundant number, since it is smaller than the sum of its proper divisors (23862878016).

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

11010143424 is a wasteful number, since it uses less digits than its factorization.

11010143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11010143424 its reverse (42434101011), we get a palindrome (53444244435).

The spelling of 11010143424 in words is "eleven billion, ten million, one hundred forty-three thousand, four hundred twenty-four".