Search a number
-
+
110100021000012 = 22335653911803079
BaseRepresentation
bin11001000010001010101000…
…101001000011011101001100
3112102211110101202201000222000
4121002022220221003131030
5103412334320334000022
61030055130144552300
732122315105140561
oct3102125051033514
9472743352630860
10110100021000012
113209917a60997a
1210422156322690
134958506254534
141d28c25aaa868
15cade4a6e96ac
hex6422a8a4374c

110100021000012 has 48 divisors (see below), whose sum is σ = 285445162060800. Its totient is φ = 36699921735120.

The previous prime is 110100021000001. The next prime is 110100021000019. The reversal of 110100021000012 is 210000120001011.

It is a happy number.

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 = 110100020999958 and 110100021000003.

It is not an unprimeable number, because it can be changed into a prime (110100021000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60160689 + ... + 61963767.

It is an arithmetic number, because the mean of its divisors is an integer number (5946774209600).

Almost surely, 2110100021000012 is an apocalyptic number.

110100021000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100021000012 is an abundant number, since it is smaller than the sum of its proper divisors (175345141060788).

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

110100021000012 is a wasteful number, since it uses less digits than its factorization.

110100021000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368483 (or 2368475 counting only the distinct ones).

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

Adding to 110100021000012 its reverse (210000120001011), we get a palindrome (320100141001023).

Subtracting 110100021000012 from its reverse (210000120001011), we obtain a palindrome (99900099000999).

The spelling of 110100021000012 in words is "one hundred ten trillion, one hundred billion, twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 565391 1130782 1696173 1803079 2261564 3392346 3606158 5088519 5409237 6784692 7212316 10177038 10818474 15265557 16227711 20354076 21636948 30531114 32455422 48683133 61062228 64910844 97366266 194732532 1019444638889 2038889277778 3058333916667 4077778555556 6116667833334 9175001750001 12233335666668 18350003500002 27525005250003 36700007000004 55050010500006 110100021000012