Search a number
-
+
1022110011012 = 223223938041909
BaseRepresentation
bin11101101111110101000…
…00010000111010000100
310121201020121022100200210
432313322200100322010
5113221240130323022
62101314552435420
7133562560513356
oct16677240207204
93551217270623
101022110011012
11364524500472
121461126a8b70
13754ccb57bac
1437682a630d6
151b8c2875a0c
hexedfa810e84

1022110011012 has 24 divisors (see below), whose sum is σ = 2385988595200. Its totient is φ = 340551160416.

The previous prime is 1022110011001. The next prime is 1022110011019. The reversal of 1022110011012 is 2101100112201.

It is a super-2 number, since 2×10221100110122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1022110011019) 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 7 ways as a sum of consecutive naturals, for example, 18994087 + ... + 19047822.

Almost surely, 21022110011012 is an apocalyptic number.

1022110011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022110011012 is an abundant number, since it is smaller than the sum of its proper divisors (1363878584188).

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

1022110011012 is a wasteful number, since it uses less digits than its factorization.

1022110011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38044155 (or 38044153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022110011012 its reverse (2101100112201), we get a palindrome (3123210123213).

The spelling of 1022110011012 in words is "one trillion, twenty-two billion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 2239 4478 6717 8956 13434 26868 38041909 76083818 114125727 152167636 228251454 456502908 85175834251 170351668502 255527502753 340703337004 511055005506 1022110011012