Search a number
-
+
1010010210012 = 22344900963607
BaseRepresentation
bin11101011001010010100…
…11001011111011011100
310120120000100101210010000
432230221103023323130
5113022000103210022
62051554200014300
7132653665063536
oct16545123137334
93516010353100
101010010210012
1135a385483931
121438b6461390
137432211c32b
1436c55aa6856
151b41548e6ac
hexeb294cbedc

1010010210012 has 60 divisors (see below), whose sum is σ = 2640461583760. Its totient is φ = 336657907584.

The previous prime is 1010010209941. The next prime is 1010010210017. The reversal of 1010010210012 is 2100120100101.

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 = 1010010209976 and 1010010210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15847113 + ... + 15910719.

Almost surely, 21010010210012 is an apocalyptic number.

1010010210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010010210012 is an abundant number, since it is smaller than the sum of its proper divisors (1630451373748).

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

1010010210012 is a wasteful number, since it uses less digits than its factorization.

1010010210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112632 (or 112621 counting only the distinct ones).

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

Adding to 1010010210012 its reverse (2100120100101), we get a palindrome (3110130310113).

The spelling of 1010010210012 in words is "one trillion, ten billion, ten million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 49009 63607 98018 127214 147027 190821 196036 254428 294054 381642 441081 572463 588108 763284 882162 1144926 1323243 1717389 1764324 2289852 2646486 3434778 3969729 5152167 5292972 6869556 7939458 10304334 15878916 20608668 3117315463 6234630926 9351946389 12469261852 18703892778 28055839167 37407785556 56111678334 84167517501 112223356668 168335035002 252502552503 336670070004 505005105006 1010010210012