Search a number
-
+
22113688631122 = 211295395885497
BaseRepresentation
bin1010000011100101111101…
…00011100011011101010010
32220022001021222112012122101
411001302332203203131102
510344302313242143442
6115010515513031014
74441442550654004
oct501627643433522
986261258465571
1022113688631122
1170563a9803100
1225919456b546a
13c454092b7c6a
14566445b52374
15285363bc8cb7
hex141cbe8e3752

22113688631122 has 24 divisors (see below), whose sum is σ = 36498431271708. Its totient is φ = 10041129141120.

The previous prime is 22113688631119. The next prime is 22113688631189.

22113688631122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 20022949039401 + 2090739591721 = 4474701^2 + 1445939^2 .

It is a super-3 number, since 3×221136886311223 (a number of 41 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 47712123 + ... + 48173374.

Almost surely, 222113688631122 is an apocalyptic number.

22113688631122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22113688631122 is a deficient number, since it is larger than the sum of its proper divisors (14384742640586).

22113688631122 is a wasteful number, since it uses less digits than its factorization.

22113688631122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95886474 (or 95886463 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The spelling of 22113688631122 in words is "twenty-two trillion, one hundred thirteen billion, six hundred eighty-eight million, six hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 242 953 1906 10483 20966 115313 230626 95885497 191770994 1054740467 2109480934 11602145137 23204290274 91378878641 182757757282 1005167665051 2010335330102 11056844315561 22113688631122