Search a number
-
+
10013043904812 = 223313172935714051
BaseRepresentation
bin1001000110110101011111…
…1011001101000100101100
31022110020102020122021101000
42101231113323031010230
52303023203214423222
633143532345120300
72052263363612304
oct221552773150454
938406366567330
1010013043904812
113210565276843
121158718189090
135782c26601b0
142688c3646604
151256e01689ac
hex91b57ecd12c

10013043904812 has 384 divisors, whose sum is σ = 30638021299200. Its totient is φ = 2798240256000.

The previous prime is 10013043904777. The next prime is 10013043904823. The reversal of 10013043904812 is 21840934031001.

10013043904812 is a `hidden beast` number, since 1 + 0 + 0 + 130 + 43 + 9 + 0 + 481 + 2 = 666.

It is a super-2 number, since 2×100130439048122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 2471744187 + ... + 2471748237.

It is an arithmetic number, because the mean of its divisors is an integer number (79786513800).

Almost surely, 210013043904812 is an apocalyptic number.

10013043904812 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 10013043904812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319010649600).

10013043904812 is an abundant number, since it is smaller than the sum of its proper divisors (20624977394388).

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

10013043904812 is a wasteful number, since it uses less digits than its factorization.

10013043904812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10013043904812 its reverse (21840934031001), we get a palindrome (31853977935813).

The spelling of 10013043904812 in words is "ten trillion, thirteen billion, forty-three million, nine hundred four thousand, eight hundred twelve".