Search a number
-
+
11253234212000 = 2553111671531469
BaseRepresentation
bin1010001111000001100100…
…0001110001110010100000
31110211210120020111112020022
42203300121001301302200
52433333110424241000
635533355303333012
72241006430363514
oct243603101616240
943753506445208
1011253234212000
113649519383540
121318b51451168
1363823856c951
142ac93371a144
15147ac83cd585
hexa3c19071ca0

11253234212000 has 192 divisors, whose sum is σ = 30343394914560. Its totient is φ = 4067579008000.

The previous prime is 11253234211991. The next prime is 11253234212069. The reversal of 11253234212000 is 21243235211.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6582266 + ... + 8113734.

It is an arithmetic number, because the mean of its divisors is an integer number (158038515180).

Almost surely, 211253234212000 is an apocalyptic number.

11253234212000 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 11253234212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171697457280).

11253234212000 is an abundant number, since it is smaller than the sum of its proper divisors (19090160702560).

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

11253234212000 is a wasteful number, since it uses less digits than its factorization.

11253234212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531672 (or 1531654 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 11253234212000 its reverse (21243235211), we get a palindrome (11274477447211).

The spelling of 11253234212000 in words is "eleven trillion, two hundred fifty-three billion, two hundred thirty-four million, two hundred twelve thousand".