Search a number
-
+
10260120060000 = 25325459966113
BaseRepresentation
bin1001010101001101111011…
…0011111100000001100000
31100022212011102000102102200
42111103132303330001200
52321100211213410000
633453233432413200
72106161224360206
oct225233663740140
940285142012380
1010260120060000
1132a6324325118
121198591547200
135956a9a4cba5
142768419d7076
1512bd51433500
hex954decfc060

10260120060000 has 360 divisors, whose sum is σ = 37077851570760. Its totient is φ = 2689655808000.

The previous prime is 10260120059953. The next prime is 10260120060013. The reversal of 10260120060000 is 6002106201.

It is a happy number.

10260120060000 is a `hidden beast` number, since 1 + 0 + 2 + 60 + 1 + 2 + 0 + 0 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×102601200600002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10136944 + ... + 11103056.

It is an arithmetic number, because the mean of its divisors is an integer number (102994032141).

Almost surely, 210260120060000 is an apocalyptic number.

10260120060000 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 10260120060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538925785380).

10260120060000 is an abundant number, since it is smaller than the sum of its proper divisors (26817731510760).

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

10260120060000 is an equidigital number, since it uses as much as digits as its factorization.

10260120060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966208 (or 966182 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10260120060000 its reverse (6002106201), we get a palindrome (10266122166201).

The spelling of 10260120060000 in words is "ten trillion, two hundred sixty billion, one hundred twenty million, sixty thousand".