Search a number
-
+
110020010001012 = 22323056111388917
BaseRepresentation
bin11001000001000000000111…
…100111010100001001110100
3112102112210212122220011011200
4121001000013213110021310
5103410031440030013022
61025554254515332500
732113453260646116
oct3101000747241164
9472483778804150
10110020010001012
1132068251480111
121040a7468b1130
134950ac4a6b247
141d24dd56ab3b6
15cabd162a6bac
hex6410079d4274

110020010001012 has 18 divisors (see below), whose sum is σ = 278106136391538. Its totient is φ = 36673336666992.

The previous prime is 110020010000963. The next prime is 110020010001061. The reversal of 110020010001012 is 210100010020011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110020010000963) and next prime (110020010001061).

It can be written as a sum of positive squares in only one way, i.e., 106176826157796 + 3843183843216 = 10304214^2 + 1960404^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 110020010000985 and 110020010001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1528055694423 + ... + 1528055694494.

It is an arithmetic number, because the mean of its divisors is an integer number (15450340910641).

Almost surely, 2110020010001012 is an apocalyptic number.

110020010001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110020010001012 is an abundant number, since it is smaller than the sum of its proper divisors (168086126390526).

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

110020010001012 is a wasteful number, since it uses less digits than its factorization.

110020010001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056111388927 (or 3056111388922 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020010001012 its reverse (210100010020011), we get a palindrome (320120020021023).

The spelling of 110020010001012 in words is "one hundred ten trillion, twenty billion, ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3056111388917 6112222777834 9168334166751 12224445555668 18336668333502 27505002500253 36673336667004 55010005000506 110020010001012