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10110022020021 = 37111011074049813
BaseRepresentation
bin1001001100011110110001…
…0001010110101110110101
31022210111201211001221222210
42103013230101112232311
52311120311114120041
633300251402444033
72062265525156130
oct223075421265665
938714654057883
1010110022020021
1132486aa9540a0
121173481b03619
135844a9095111
1426d483205217
15127eb8e3a016
hex931ec456bb5

10110022020021 has 64 divisors (see below), whose sum is σ = 17131296393216. Its totient is φ = 5151360864000.

The previous prime is 10110022020001. The next prime is 10110022020037. The reversal of 10110022020021 is 12002022001101.

It is not a de Polignac number, because 10110022020021 - 29 = 10110022019509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110022019979 and 10110022020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110022020001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 471511 + ... + 4521323.

It is an arithmetic number, because the mean of its divisors is an integer number (267676506144).

Almost surely, 210110022020021 is an apocalyptic number.

10110022020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110022020021 is a deficient number, since it is larger than the sum of its proper divisors (7021274373195).

10110022020021 is a wasteful number, since it uses less digits than its factorization.

10110022020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050042.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10110022020021 its reverse (12002022001101), we get a palindrome (22112044021122).

The spelling of 10110022020021 in words is "ten trillion, one hundred ten billion, twenty-two million, twenty thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 101 107 231 303 321 707 749 1111 1177 2121 2247 3333 3531 7777 8239 10807 23331 24717 32421 75649 118877 226947 356631 832139 2496417 4049813 12149439 28348691 44547943 85046073 133643829 311835601 409031113 433329991 935506803 1227093339 1299989973 2863217791 3033309937 4499342243 4766629901 8589653373 9099929811 13498026729 14299889703 31495395701 33366409307 43766329091 94486187103 100099227921 131298987273 306364303637 481429620001 919092910911 1444288860003 3370007340007 10110022020021