Search a number
-
+
22012121110001 = 112181918356281
BaseRepresentation
bin1010000000101000110001…
…01010001101010111110001
32212221100010120022112122212
411000110120222031113301
510341121311001010001
6114452121232341505
74431215611200041
oct500243052152761
985840116275585
1022012121110001
11701731956a200
12257611a9a4895
13c38970b04b39
1456156c853721
152828bc0587bb
hex140518a8d5f1

22012121110001 has 6 divisors (see below), whose sum is σ = 24195141385506. Its totient is φ = 20011019190800.

The previous prime is 22012121109941. The next prime is 22012121110009. The reversal of 22012121110001 is 10001112121022.

It can be written as a sum of positive squares in only one way, i.e., 21285083507776 + 727037602225 = 4613576^2 + 852665^2 .

It is not a de Polignac number, because 22012121110001 - 226 = 22012054001137 is a prime.

It is a super-2 number, since 2×220121211100012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22012121110009) 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 5 ways as a sum of consecutive naturals, for example, 90959178020 + ... + 90959178261.

It is an arithmetic number, because the mean of its divisors is an integer number (4032523564251).

Almost surely, 222012121110001 is an apocalyptic number.

It is an amenable number.

22012121110001 is a deficient number, since it is larger than the sum of its proper divisors (2183020275505).

22012121110001 is a wasteful number, since it uses less digits than its factorization.

22012121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181918356303 (or 181918356292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22012121110001 its reverse (10001112121022), we get a palindrome (32013233231023).

It can be divided in two parts, 22012121 and 110001, that added together give a palindrome (22122122).

The spelling of 22012121110001 in words is "twenty-two trillion, twelve billion, one hundred twenty-one million, one hundred ten thousand, one".

Divisors: 1 11 121 181918356281 2001101919091 22012121110001