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20101120212201 = 3719211323464717
BaseRepresentation
bin1001001001000001010000…
…01000010011110011101001
32122011122111121222112011020
410210200220020103303221
510113314043233242301
6110430154355123053
74143154332445110
oct444405010236351
978148447875136
1020101120212201
11644a923363146
1223078945a3489
13b2a6b1c00022
144d6c83d9cc77
1524cd225ea436
hex124828213ce9

20101120212201 has 48 divisors (see below), whose sum is σ = 32613329971584. Its totient is φ = 10785509779968.

The previous prime is 20101120212197. The next prime is 20101120212203. The reversal of 20101120212201 is 10221202110102.

It is not a de Polignac number, because 20101120212201 - 22 = 20101120212197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20101120212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10875706 + ... + 12589011.

It is an arithmetic number, because the mean of its divisors is an integer number (679444374408).

Almost surely, 220101120212201 is an apocalyptic number.

20101120212201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20101120212201 is a deficient number, since it is larger than the sum of its proper divisors (12512209759383).

20101120212201 is a wasteful number, since it uses less digits than its factorization.

20101120212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23464878 (or 23464859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20101120212201 its reverse (10221202110102), we get a palindrome (30322322322303).

The spelling of 20101120212201 in words is "twenty trillion, one hundred one billion, one hundred twenty million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 19 21 57 113 133 339 361 399 791 1083 2147 2373 2527 6441 7581 15029 40793 45087 122379 285551 856653 23464717 70394151 164253019 445829623 492759057 1337488869 2651513021 3120807361 7954539063 8470762837 9362422083 18560591147 25412288511 50378747399 55681773441 59295339859 151136242197 177886019577 352651231793 957196200581 1057953695379 2871588601743 6700373404067 20101120212201