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10000102022020 = 22511436717239157
BaseRepresentation
bin1001000110000101010010…
…0001110101101110000100
31022102000000022012111201201
42101201110201311232010
52302320202104201040
633133552231432244
72051324564460505
oct221412441655604
938360008174651
1010000102022020
113206023986740
121156105b25684
1357700c329496
142680168c8bac
151251d3d96a9a
hex91854875b84

10000102022020 has 192 divisors, whose sum is σ = 23808389907456. Its totient is φ = 3496408312320.

The previous prime is 10000102021967. The next prime is 10000102022081. The reversal of 10000102022020 is 2022020100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000102021988 and 10000102022006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092067282 + ... + 1092076438.

It is an arithmetic number, because the mean of its divisors is an integer number (124002030768).

Almost surely, 210000102022020 is an apocalyptic number.

10000102022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000102022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904194953728).

10000102022020 is an abundant number, since it is smaller than the sum of its proper divisors (13808287885436).

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

10000102022020 is a wasteful number, since it uses less digits than its factorization.

10000102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000102022020 its reverse (2022020100001), we get a palindrome (12022122122021).

The spelling of 10000102022020 in words is "ten trillion, one hundred two million, twenty-two thousand, twenty".