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20111221011020 = 22510942667216217
BaseRepresentation
bin1001001001010100000100…
…01011110011001001001100
32122012121120120102021021012
410210222002023303021030
510114000240034323040
6110434544542224352
74143662543020136
oct444520213631114
978177516367235
1020111221011020
116454136a64867
1223098332850b8
13b2b631750769
144d7561680056
1524d214269865
hex124a822f324c

20111221011020 has 48 divisors (see below), whose sum is σ = 42622224062880. Its totient is φ = 7970462083584.

The previous prime is 20111221010929. The next prime is 20111221011041. The reversal of 20111221011020 is 2011012211102.

It is a super-2 number, since 2×201112210110202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111221010986 and 20111221011004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92905952 + ... + 93122168.

It is an arithmetic number, because the mean of its divisors is an integer number (887963001310).

Almost surely, 220111221011020 is an apocalyptic number.

20111221011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111221011020 is an abundant number, since it is smaller than the sum of its proper divisors (22511003051860).

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

20111221011020 is a wasteful number, since it uses less digits than its factorization.

20111221011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259002 (or 259000 counting only the distinct ones).

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

Adding to 20111221011020 its reverse (2011012211102), we get a palindrome (22122233222122).

The spelling of 20111221011020 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 42667 85334 170668 213335 216217 426670 432434 853340 864868 1081085 2162170 4324340 4650703 9301406 18602812 23253515 23567653 46507030 47135306 93014060 94270612 117838265 235676530 471353060 9225330739 18450661478 36901322956 46126653695 92253307390 184506614780 1005561050551 2011122101102 4022244202204 5027805252755 10055610505510 20111221011020