Search a number
-
+
1011434030000 = 24541919992663
BaseRepresentation
bin11101011011111100010…
…10101000001110110000
310120200200120120022221122
432231332022220032300
5113032404102430000
62052351341241412
7133034164255322
oct16557612501660
93520616508848
101011434030000
1135aa46161969
12144033263268
13744bb0bab74
1436d4cc19612
151b49a48c085
hexeb7e2a83b0

1011434030000 has 200 divisors, whose sum is σ = 2579924160000. Its totient is φ = 382944672000.

The previous prime is 1011434029973. The next prime is 1011434030023. The reversal of 1011434030000 is 304341101.

It is a tau number, because it is divible by the number of its divisors (200).

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, 379808669 + ... + 379811331.

It is an arithmetic number, because the mean of its divisors is an integer number (12899620800).

Almost surely, 21011434030000 is an apocalyptic number.

1011434030000 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 1011434030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289962080000).

1011434030000 is an abundant number, since it is smaller than the sum of its proper divisors (1568490130000).

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

1011434030000 is a wasteful number, since it uses less digits than its factorization.

1011434030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1011434030000 its reverse (304341101), we get a palindrome (1011738371101).

The spelling of 1011434030000 in words is "one trillion, eleven billion, four hundred thirty-four million, thirty thousand".