Search a number
-
+
1013246330112 = 283571229409
BaseRepresentation
bin11101011111010100011…
…00000000010100000000
310120212100212201201100000
432233222030000110000
5113100112030030422
62053251241200000
7133130121462162
oct16575214002400
93525325651300
101013246330112
11360796157855
1214445a190000
13747196c66b3
14370817b4932
151b554624cac
hexebea300500

1013246330112 has 216 divisors, whose sum is σ = 3072324790080. Its totient is φ = 332990300160.

The previous prime is 1013246330087. The next prime is 1013246330191. The reversal of 1013246330112 is 2110336423101.

It is a happy number.

1013246330112 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 24 + 633 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4302064 + ... + 4531472.

It is an arithmetic number, because the mean of its divisors is an integer number (14223725880).

Almost surely, 21013246330112 is an apocalyptic number.

1013246330112 is a gapful number since it is divisible by the number (12) 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 1013246330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536162395040).

1013246330112 is an abundant number, since it is smaller than the sum of its proper divisors (2059078459968).

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

1013246330112 is an frugal number, since it uses more digits than its factorization.

1013246330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229511 (or 229485 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1013246330112 in words is "one trillion, thirteen billion, two hundred forty-six million, three hundred thirty thousand, one hundred twelve".