Search a number
-
+
22122100101020 = 2252773993158863
BaseRepresentation
bin1010000011110101100111…
…11010110000111110011100
32220022212000012012011010112
411001322303322300332130
510344422030111213040
6115014430312025152
74442161156166603
oct501726372607634
986285005164115
1022122100101020
117059a2586aa17
1225934b26921b8
13c46149b5729a
14566a02d28a3a
152856a73a1365
hex141eb3eb0f9c

22122100101020 has 24 divisors (see below), whose sum is σ = 46624122896064. Its totient is φ = 8816894767296.

The previous prime is 22122100101019. The next prime is 22122100101121. The reversal of 22122100101020 is 2010100122122.

It is a junction number, because it is equal to n+sod(n) for n = 22122100100986 and 22122100101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1996573892 + ... + 1996584971.

It is an arithmetic number, because the mean of its divisors is an integer number (1942671787336).

Almost surely, 222122100101020 is an apocalyptic number.

22122100101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122100101020 is an abundant number, since it is smaller than the sum of its proper divisors (24502022795044).

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

22122100101020 is a wasteful number, since it uses less digits than its factorization.

22122100101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993159149 (or 3993159147 counting only the distinct ones).

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

Adding to 22122100101020 its reverse (2010100122122), we get a palindrome (24132200223142).

The spelling of 22122100101020 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 3993158863 7986317726 15972635452 19965794315 39931588630 79863177260 1106105005051 2212210010102 4424420020204 5530525025255 11061050050510 22122100101020