Search a number
-
+
1022022112212 = 2232161271760371
BaseRepresentation
bin11101101111101010100…
…00111101001111010100
310121201000110220122012200
432313311100331033110
5113221100130042322
62101302132444500
7133560442421553
oct16676520751724
93551013818180
101022022112212
11364489924832
121460a9179730
13754b789047a
1437675101d9a
151b8b9cb18ac
hexedf543d3d4

1022022112212 has 36 divisors (see below), whose sum is σ = 2583606445056. Its totient is φ = 340652719440.

The previous prime is 1022022112159. The next prime is 1022022112217. The reversal of 1022022112212 is 2122112202201.

It is a happy number.

1022022112212 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 1 + 221 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022112217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299614 + ... + 1460757.

It is an arithmetic number, because the mean of its divisors is an integer number (71766845696).

Almost surely, 21022022112212 is an apocalyptic number.

1022022112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022022112212 is an abundant number, since it is smaller than the sum of its proper divisors (1561584332844).

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

1022022112212 is a wasteful number, since it uses less digits than its factorization.

1022022112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776508 (or 1776503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022022112212 its reverse (2122112202201), we get a palindrome (3144134314413).

The spelling of 1022022112212 in words is "one trillion, twenty-two billion, twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 16127 32254 48381 64508 96762 145143 193524 290286 580572 1760371 3520742 5281113 7041484 10562226 15843339 21124452 31686678 63373356 28389503117 56779006234 85168509351 113558012468 170337018702 255505528053 340674037404 511011056106 1022022112212