Search a number
-
+
22221120021102 = 2332210711861403
BaseRepresentation
bin1010000110101110000011…
…11101110010001001101110
32220200022121001122021111000
411003113001331302021232
510403032323211133402
6115132124104341130
74452265032501342
oct503270175621156
986608531567430
1022221120021102
117097a18a48512
1225aa7281747a6
13c5259a5b2782
1456b717b45622
15288050541c1c
hex1435c1f7226e

22221120021102 has 32 divisors (see below), whose sum is σ = 49380516610560. Its totient is φ = 7407002522520.

The previous prime is 22221120021077. The next prime is 22221120021103. The reversal of 22221120021102 is 20112002112222.

It is a happy number.

22221120021102 is a `hidden beast` number, since 222 + 211 + 20 + 0 + 211 + 0 + 2 = 666.

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 (22221120021103) 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 15 ways as a sum of consecutive naturals, for example, 11007133 + ... + 12868535.

It is an arithmetic number, because the mean of its divisors is an integer number (1543141144080).

Almost surely, 222221120021102 is an apocalyptic number.

22221120021102 is an abundant number, since it is smaller than the sum of its proper divisors (27159396589458).

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

22221120021102 is a wasteful number, since it uses less digits than its factorization.

22221120021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082485 (or 2082479 counting only the distinct ones).

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

Adding to 22221120021102 its reverse (20112002112222), we get a palindrome (42333122133324).

The spelling of 22221120021102 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 221071 442142 663213 1326426 1861403 1989639 3722806 3979278 5584209 5968917 11168418 11937834 16752627 33505254 50257881 100515762 411502222613 823004445226 1234506667839 2469013335678 3703520003517 7407040007034 11110560010551 22221120021102