Search a number
-
+
1022002012212 = 22385166834351
BaseRepresentation
bin11101101111101000001…
…00010010000000110100
310121200222002002110012020
432313310010102000310
5113221030003342322
62101300133553140
7133560106525146
oct16676404220064
93550862073166
101022002012212
11364479546365
121460a24a57b0
13754b367368c
143767258cc96
151b8b814105c
hexedf4112034

1022002012212 has 12 divisors (see below), whose sum is σ = 2384671361856. Its totient is φ = 340667337400.

The previous prime is 1022002012211. The next prime is 1022002012219. The reversal of 1022002012212 is 2122102002201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10220020122122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022002012191 and 1022002012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022002012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42583417164 + ... + 42583417187.

It is an arithmetic number, because the mean of its divisors is an integer number (198722613488).

Almost surely, 21022002012212 is an apocalyptic number.

1022002012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022002012212 is an abundant number, since it is smaller than the sum of its proper divisors (1362669349644).

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

1022002012212 is a wasteful number, since it uses less digits than its factorization.

1022002012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85166834358 (or 85166834356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1022002012212 its reverse (2122102002201), we get a palindrome (3144104014413).

The spelling of 1022002012212 in words is "one trillion, twenty-two billion, two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 85166834351 170333668702 255500503053 340667337404 511001006106 1022002012212