Search a number
-
+
10110000020000 = 255410316330109
BaseRepresentation
bin1001001100011110101011…
…1101011011101000100000
31022210111200021200020122012
42103013222331123220200
52311120240001120000
633300245255132052
72062265140160126
oct223075275335040
938714607606565
1010110000020000
113248699498161
121173476674028
135844a466155a
1426d480319916
15127eb7041735
hex931eaf5ba20

10110000020000 has 240 divisors, whose sum is σ = 25268503740480. Its totient is φ = 3980036736000.

The previous prime is 10110000019979. The next prime is 10110000020011. The reversal of 10110000020000 is 2000001101.

It is a happy number.

10110000020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335764946 + ... + 335795054.

It is an arithmetic number, because the mean of its divisors is an integer number (105285432252).

Almost surely, 210110000020000 is an apocalyptic number.

10110000020000 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 10110000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634251870240).

10110000020000 is an abundant number, since it is smaller than the sum of its proper divisors (15158503720480).

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

10110000020000 is a wasteful number, since it uses less digits than its factorization.

10110000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30405 (or 30382 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10110000020000 its reverse (2000001101), we get a palindrome (10112000021101).

The spelling of 10110000020000 in words is "ten trillion, one hundred ten billion, twenty thousand".