Search a number
-
+
1001110111110 = 2325233747713917
BaseRepresentation
bin11101001000101101101…
…00000000001110000110
310112201001002021220122100
432210112310000032012
5112400233142023420
62043523104012530
7132220304353404
oct16442664001606
93481032256570
101001110111110
1135662861689a
12142031901146
1373534279815
143664da58474
151b093e48190
hexe916d00386

1001110111110 has 384 divisors, whose sum is σ = 2889674072064. Its totient is φ = 239681756160.

The previous prime is 1001110111097. The next prime is 1001110111121. The reversal of 1001110111110 is 111110111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001110111092 and 1001110111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255578872 + ... + 255582788.

It is an arithmetic number, because the mean of its divisors is an integer number (7525192896).

Almost surely, 21001110111110 is an apocalyptic number.

1001110111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001110111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444837036032).

1001110111110 is an abundant number, since it is smaller than the sum of its proper divisors (1888563960954).

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

1001110111110 is a wasteful number, since it uses less digits than its factorization.

1001110111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1001110111110 its reverse (111110111001), we get a palindrome (1112220222111).

The spelling of 1001110111110 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, one hundred ten".