Search a number
-
+
1022122101020 = 22551106105051
BaseRepresentation
bin11101101111110110011…
…10011000100100011100
310121201021110001121001212
432313323032120210130
5113221301224213040
62101320103523552
7133563065336246
oct16677316304434
93551243047055
101022122101020
11364530308909
121461167595b8
13755024cbb47
14376844cd096
151b8c3962d65
hexedfb39891c

1022122101020 has 12 divisors (see below), whose sum is σ = 2146456412184. Its totient is φ = 408848840400.

The previous prime is 1022122100999. The next prime is 1022122101053. The reversal of 1022122101020 is 201012212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022122100986 and 1022122101004.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 25553052506 + ... + 25553052545.

It is an arithmetic number, because the mean of its divisors is an integer number (178871367682).

Almost surely, 21022122101020 is an apocalyptic number.

1022122101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022122101020 is an abundant number, since it is smaller than the sum of its proper divisors (1124334311164).

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

1022122101020 is a wasteful number, since it uses less digits than its factorization.

1022122101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51106105060 (or 51106105058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022122101020 its reverse (201012212201), we get a palindrome (1223134313221).

The spelling of 1022122101020 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 51106105051 102212210102 204424420204 255530525255 511061050510 1022122101020