Search a number
11234141030000 = 245475919913669
BaseRepresentation
bin1010001101111010011011…
…1111000100011001110000
31110202222021121022101102102
42203132212333010121300
52433030010100430000
635520520530235532
72236432326123050
oct243364677043160
943688247271372
1011234141030000
113641410813289
121315303125ba8
136364b4a07b15
142aba41a47560
1514735c0893d5
hexa37a6fc4670

11234141030000 has 400 divisors, whose sum is σ = 31772579520000. Its totient is φ = 3767119488000.

The previous prime is 11234141029997. The next prime is 11234141030029. The reversal of 11234141030000 is 3014143211.

Adding to 11234141030000 its reverse (3014143211), we get a palindrome (11237155173211).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 821863166 + ... + 821876834.

It is an arithmetic number, because the mean of its divisors is an integer number (79431448800).

Almost surely, 211234141030000 is an apocalyptic number.

11234141030000 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 11234141030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886289760000).

11234141030000 is an abundant number, since it is smaller than the sum of its proper divisors (20538438490000).

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

11234141030000 is a wasteful number, since it uses less digits than its factorization.

11234141030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 11234141030000 in words is "eleven trillion, two hundred thirty-four billion, one hundred forty-one million, thirty thousand".